The statue of Liberty stands on a 150 ft. pedestal. From a point 250 ft. from the base of the
pedestal, the angle of elevation to the top of Liberty's torch is 50°. Find the height of the Statue
of Liberty
how do i do it?
Answers
Answer:
148ft
Step-by-step explanation:
To solve this question, you'll have to imagine the statue makes a right angle triangle with the base since it has an angle of elevation from the base to the top of the torch.
Assuming the height from the pedestal to the top of the torch is y
The height of the statue is x
But we know the height of the pedestal = 150ft
The distance from the observer to the base of the pedestal = 250ft
And the angle of elevation = 50°
See attached document for better illustration.
Tanθ = opposite / adjacent
θ = 50°
Adjacent = 250
Opposite = y
Tan50 = t / 250
y = 50 × tan50
y = 50 × tan50
y = 50 × 1.1917
y = 297.925ft
The height of the statue from the base of the pedestal to the top of the torch is 297.925ft
The height of the statue = x
x = (height of the statue + height of the pedestal) - height of the pedestal
x = y - 150
x = 297.925 - 150
x = 147.925ft
Approximately 148ft
The height of the statue is 148ft
Related Questions
PLEASE HELP FAST!
Dustin is the manager at the local coffee shop. He is trying to decide which of two employees should get a raise. Both are great with customers and are hard workers. Below are the number of hours of sick time (each month) that the employees have taken over the last year.
Maria: 2, 2, 1, 1, 3, 4, 8, 2, 1, 0, 2, 1
Paul: 6, 6, 2, 4, 6, 3, 8, 14, 8, 0, 3, 4
Based on the hours of sick time taken, who do you think should get the raise? Think about who is the more dependable employee. Support your answer with data!
Answers
Answer:
Maria
Step-by-step explanation:
If you add all the sick days, Paul is 64 and Maria is 27
Gianna used two refrigerators, each set to a different temperature, to cool two cups of hot liquid
Answers
Answer:
Whichever refrigerator has the HIGHEST temperature will make the hot liquid cool slower and whichever one has the LOWEST temperature will cool the hot liquid faster
Step-by-step explanation:
EXAMPLE: If one is 55 degrees and the other one is 5 degrees, the one that is 5 degrees will cool the hot liquid faster.
Answer:When Gianna placed the two cups in the refrigerators, the liquid placed in refrigerator A was WARMER than the liquid placed in refrigerator B.
The END BEHAVIOR of the two functions implies that refrigerator A is set to a HIGHER temperature than refrigerator B.
Step-by-step explanation:
trust me bro
Which is the equation for the graph of the limacon curve below? [- 5, 5] by [- 5, 5) r=3-2sin theta r=2-3 sin theta r=2-2 sin theta r=4- sin theta
Answers
Answer:
D
Step-by-step explanation: On Edge
Answer:
A
Step-by-step explanation:
i know its late for the original post but for people coming after to get the answers its definitely A. i graphed it on desmos
Which statements can be interpreted from the equation for a real estate value, V(t)=228,000(1.03)t where V(t) represents the value of the real estate and t represents the time in years?
Answers
Find the exact value of cot( sin-'(-1)).
O A. Undefined
O B. O
O C. -1
O D. 1
Answers
The value of the trigonometric relation cot ( sin⁻¹ ( -1 ) ) = 0
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the trigonometric relation be represented as A
Now , the value of A is
A = cot ( sin⁻¹ ( -1 ) ) be equation (1)
On simplifying , we get
The value of ( sin⁻¹ ( -1 ) ) = -π/2
where sin (-θ) = -sin (θ)
So , A = cot ( -π/2 )
From the trigonometric relations ,
cot (-θ) = -cot (θ)
cot ( -π/2 ) = 0
Hence , the trigonometric relation is solved
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What is the probability of spinning green on the first spinner and blue on the second spinner?
Answers
The probability of spinning 'green' on the first spinner and 'blue' on the second spinner can be calculated by multiplying the individual probabilities assuming that they are independent events.
Explanation:The probability of getting 'green' on the first spinner and 'blue' on the second spinner can be calculated by multiplying the individual probabilities if the two events are independent. If the first spinner has 'g' green out of 't' total possible outcomes and the second spinner has 'b' blue out of 's' total outcomes, the first probability would be 'g/t' and the second one 'b/s'. Hence, the probability of spinning 'green' on the first and 'blue' on the second would be (g/t) * (b/s).
For instance, if the first spinner has 2 green areas out of 10 total (2/10=0.2) and the second spinner has 3 blue areas out of 10 (3/10=0.3), then the probability of spinning 'green' first and 'blue' second would be 0.2*0.3=0.06 or 6%. Remember that the aforementioned explanation assumes that the outcomes from the two spinners are independent, that is, the result from the first does not affect the result from the second.
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The probability of spinning green on the first spinner and blue on the second spinner is 1/9.
To calculate the probability of independent events, we need to multiply the probabilities of each event occurring separately.
Assume the first spinner has equal sections for each color: red, blue, and green.
Thus, the probability of spinning green is 1/3.
Similarly, assume the second spinner has equal sections for each color: red, blue, and green.
Thus, the probability of spinning blue is 1/3.
Since the spins are independent events, the overall probability is calculated by multiplying these probabilities:
P(Green on first) * P(Blue on second) = 1/3 * 1/3 = 1/9
How can a scientific investigation be an adventure?
Answers
Answer: Because you do many tasks and activities to find your goal/answer. Therefore, similar to an adventure hunt
Step-by-step explanation:
What is the volume of a square pyramid if the perimeter of the base is 44 in and the height is 19 in.? Round to the nearest tenth
Answers
Answer:
The volume of the square pyramid is 766.3 in³ approximately.
Step-by-step explanation:
To find the volume of the square pyramid whose perimeter of the base is 44 in and a height of 19 in, we will follow the steps below:
Write down the formula for calculating volume of the square pyramid
v=A(h/3)
where v is the volume, A is the area of the base and h is the height.
From the question given, the perimeter of the base is 44.
If the perimeter of the base is 44, then we can say;
4l = 44
Dividing both-side by 4
l = 11
The length of the base = 11
Area of the base = l² =11² = 121 in²
Als from the question given, height is 19 in.
we can now proceed to plug in our values into the formula
v=A(h/3)
v = 121 (19/3)
v≈766.3 in³ to the nearest tenth.
Therefore, the volume of the square pyramid is 766.3 in³ approximately.
Helppp plzz!! Will mark you as brainliest!! A semi–circle with points A and B is shown below.
When the semi–circle is rotated about the side AB, which of the following three–dimensional figures is created?
A. cone
B. cylinder
C. cube
D. sphere
Answers
Explanation = half circle
clara read 2/3 of a book. which fraction is equivalent to what clara read?
Answers
Answer:
1/3 of the book she needs to read
Step-by-step explanation:
racer had a bag of marbles he had 7 blue marbles 5 green marbles 5 red marbles and 1 yellow marble whta is the probrability of choosing a blue marble? i need the answer in fraction pls
Answers
The probability of choosing a blue marble is 7/18.
To find the probability of choosing a blue marble, we use the formula:
Probability = Number of favorable outcomes / Total number of possible outcomes
In this case, the number of favorable outcomes is 7 (because there are 7 blue marbles) and the total number of possible outcomes is 18 (because there are 7 blue marbles + 5 green marbles + 5 red marbles + 1 yellow marble). So the probability of choosing a blue marble is 7/18.
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Did these sales increase decrease stay the same or are they undetermined
Answers
Does anyone knows this ?
Answers
Answer:
The answer to this question is B
Step-by-step explanation:
Answer:
I think its b) y=2x-3
Step-by-step explanation:
The answers are all in slope-intercept form: y= mx+b. In slope-intercept form m represents the slope and b represents the y-intercept. (Its confusing, I know).
The slope here is 2/1 or 2. Considering rise/run we can see that the line goes up (rise) two (2) points and over (run) one (1).
Now we have y= 2x+b, we just need the y-intercept.
Looking at the y-axis, the line crosses at (0, -3). So the y-intercept is -3!
That gives us y=2x-3
I really hope this helps
convert 4600 centigrams to decagrams
Answers
Answer:
4.6 decagrams.
Step-by-step explanation:
If you multiply 4600 x .001 you get 4.6.
Feel free to let me know if you need more help. :)
Solve 2x = 3.
Round to the nearest ten-thousandth.
Answers
divide by 2 on both sides.
3/2
x=1.5
Answer:
1.5850
Step-by-step explanation:
It was simple really
Find the equation of the line
use exact numbers
Answers
Answer:
b
Step-by-step explanation:
Harrison plays a game in which he uses a net to catch balls that are randomly launched from holes in the ground. The height of one ball after t seconds is represented by the function f(t) = –16t2 + 20t. After how many seconds does the ball return to the ground? Round to the hundredths place as needed. seconds
Answers
Answer:
The ball will return to the ground after 1.25 seconds
Step-by-step explanation:
Given
f(t) = -16t² + 20t
Required
After what time (in seconds) does the ball return to the ground?
Function f(t) is a function of time and it represents the displacement of the ball.
For the ball to return to the ground, it means the displacement is 0.
So, we have f(t) = 0.
Substitute 0 for f(t) in the above, we have
0 = -16t² + 20t ---- Factorize
0 = -4t(4t - 5) ---- Reorder
-4t(4t - 5) = 0
This above expression can be splitted to;
-4t = 0 or 4t - 5 = 0
For -4t = 0,
divide through by -4
This will give t = 0
For 4t - 5 = 0,
Collect like terms
4t = 5 + 0
4t = 5
Divide through by 4
t = 5/4
t = 1.25
So, we have that
t = 0 or t = 1.25
But t can't be 0 because the ball has already traveled some distance.
So, t = 1.25
Hence, the ball will return to the ground after 1.25 seconds
Answer:
its 1.25....
Step-by-step explanation:
on edge, thank me later
Helpp quickly please this is a test
Answers
Answer: 3
Step-by-step explanation:
Which label on the cone below represents the radius?
A
В
С
D
D
Answers
The answer for the label on the cone below that represents the radius is A
Step-by-step explanation:
the answer should be B cause the radius is the line that goes threw the middle
Owen follows the rule "divide by 2" to write the pattern below. He will write two
more numbers to complete the pattern. Which statement is true?
800, 400, 200, 100, O, O
1) Every number in the pattern will have a 0 in its ones place.
)) Every number in the pattern will have a 0 or a 5 in its tens place.
) Every number in the pattern will have a 0 or a 5 in its ones place.
)) Every number in the pattern will have a 0 in its tens place.
Answers
Answer:
C)
Step-by-step explanation:
100/2 = 50 goes in the fifth position of the list
50/2 = 25 goes in the sixth position of the list
And the complete pattern is: 800, 400, 200, 100, 50, 25
Then, every number in the pattern will have a 0 or a 5 in its ones place.
find the length of the third side to the nearest 10th
Answers
Answer:
9.5
Step-by-step explanation:
Using the pythagorean theorem a^2+b^2=c^2, we can say that 3^2+b^2=10^2.
Simplify and you get 9+b^2=100. Subtract 9 from both sides and you get b^2=91. When you take the square root you get 9.53939... round to the nearest tenth and the missing side is 9.5.
From sea level, a submarine descends 40 feet per
minute. Where is the submarine in relation to sea level 5
minutes after it starts descending?
feet [Seleccionar
sea level
(Seleccionar ]
Answers
Answer:
200 ft below sea level
Step-by-step explanation:
40•5= 200
Factor completely 2x^2+4x-2
Answers
Answer:
2x^2+4x-2 = 2 * (x - 1 -[tex]\sqrt{2}[/tex]) * (x - 1 + [tex]\sqrt{2}[/tex])
Step-by-step explanation:
Factor completely 2x^2+4x-2
2x^2+4x-2 = 2* (x^2 + 2x - 1)
x = 1 + root( 4 - 4*(-1))/2
x = 1 + root(2)
and x = 1 - root(2)
Your math teacher asks you to calculate the height of the goal post on the football field. You and a partner gather the measurements shown. Find the height of the goal post, rounded to the nearest tenth of a foot.
Answers
Answer: The height of the goalpost is 41.6 feet (to the nearest tenth of a foot)
Step-by-step explanation: The figure shows an observer looking up at a goalpost at an angle of elevation of 61 degrees. The observer is 20 feet away from the base of the goalpost and he is standing 5.5 feet from the ground. This means the total height of the goalpost shall be an addition of the observer's height plus the calculated length of the portion of the goalpost as indicated by the right angled triangle.
We now have a right angled triangle, with one of the other two angles measuring 61 degrees and this shall be the reference angle. The side facing the reference angle is the opposite and is yet unknown. Also, the length from his position to the base of the goalpost is the adjacent (the side that lies between the right angle and one of the other two sides. To calculate the height,
Tan 61 = opposite/adjacent
Tan 61 = opposite/20
Tan 61 x 20 = opposite
1.8041 x 20 = opposite
36.082 = opposite.
Remember that the entire length of the goalpost includes the height of the observer (which is 5.5 ft). The height of the goalpost therefore is
Height = 5.5 + 36.082
Height = 41.582
The height of the goalpost rounded to the nearest tenth of a foot is
41.6 feet
The height of the goal post rounded to the nearest tenth is 41.6 ft
The situation forms a right angle triangle .
Properties of a right angled triangle:One of its angle is equals to 90 degreesThe sides and angle can be found using trigonometric ratios.The height of the goal post is the height of the person plus the height of the triangle formed.
Therefore, lets find the height of the triangle formed using trigonometric ratios,
tan 61° = opposite / adjacent
tan 61° = h / 20
cross multiply
h = 20 tan 61
h = 20 × 1.80404775527
h = 36.0809551054
Therefore,
height of the goal post = 36.0809551054 + 5.5 = 41.5809551054
height of the goal post ≈ 41.6 ft
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Which of the following possibilities will form a triangle?
A: Side = 15 cm, side = 7 cm, side = 7 cm
B:Side = 15 cm, side = 7 cm, side = 9 cm
C: Side = 14 cm, side = 6 cm, side = 7 cm
D:Side = 14 cm, side = 6 cm, side = 8 cm
Answers
Answer:
B
Step-by-step explanation:
A: 15+7>7
7+7<15
B: 15+7>9
15+9>7
7+9>15
Answer:
Answer:
B
Step-by-step explanation:
A: 15+7>7
7+7<15
B: 15+7>9
15+9>7
7+9>15
Ok so I need to evaluate three questions without a calculator
a.) log2 32
b.) log7 1
c.) log5 625
I did them but can someone check my work(I didn’t put down answers yet)? I put:
a.) log2 32= log32/log2 =?
b.) log7 1= log1/log7 =?
c.) log5 625= log625/log5 =?
Answers
Step-by-step explanation:
log2 32= log32/log2= log 2^5/log2=5log2/log2=5 (log2=0.3)
log7 1= log1/log7= 0 (log1=0)
log5 625= log625/log5= log5^4/log5= 4log5/log5= 4 (log5=0.69)
The trapezoids are similar. The area of the smaller trapezoid is 709 m2. Find the area of the larger trapezoid to the nearest whole number.
Answers
Answer:
564 (57/24)2
= 564 · 5.64
= 3,181
Step-by-step explanation:
i think i dont know
Answer:
1479
Step-by-step explanation:
Help please quick it's for my grades
Answers
I think it is 14, I’m not sure tho
Joe saved most of his allowance every week since his 7th birthday.If joe saves $4 per week, how much money would he have on his 15th birthday?
Answers
Answer:
He will have $1,664 on his 15th birthday.
Step-by-step explanation:
If he is saving $4 per week for 8 years(15-7=8), and there are 52 weeks in a year, then 8x52=416 weeks. Then 416x4=1,664. Therefore, he will have $1248 dollars by his 15th birthday.
Answer:
1664 Hope this is right
Step-by-step explanation:
You first need to find how many weeks is in a year.
Then multiply how many weeks that are in a year 52 by amount of money per week 4.
You get 208
Before the last step you need to subtract 15-7=8
Multiply 208 times 8 and that's your answer
The color of the light changes in the scenario because a volcano erupts. The light is the variable.
When the color of the light changes, the number of light red kidney beans will also change. The population of light red kidney beans is therefore the variable.
Answers
The color of the light changes in the scenario because a volcano erupts is independent variable and When the color of the light changes, the number of light red kidney beans will also change. The population of light red kidney beans is therefore the variable is dependent variable.
What is Expression?An expression is combination of variables, numbers and operators.
Dependent variable is something that depends on other factors.
Independent variable is a variable that stands alone and isn't changed by the other variables you are trying to measure.
The color of the light changes in the scenario because a volcano erupts. The light is the independent variable.
When the color of the light changes, the number of light red walking beans will also change. The population of light red walking beans is therefore the dependent variable.
Hence, The color of the light changes in the scenario because a volcano erupts is independent variable and When the color of the light changes, the number of light red kidney beans will also change. The population of light red kidney beans is therefore the variable is dependent variable.
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Answer:
The color of the light changes in the scenario because a volcano erupts is independent variable and When the color of the light changes, the number of light red kidney beans will also change. The population of light red kidney beans is therefore the variable is dependent variable.
Step-by-step explanation: