Sam is flying a kite. the length of the kite string is 80 meters, and it makes an angle of 75° with the ground. the height of the kite from the ground is meters.
Answers
h = 80 (0.966) = 77.27 meters height of kite from the ground
Answer:
Height of the kite from ground is 77 m.
Step-by-step explanation:
Given: Length of the kite string = 80 m
Angle of elevation = 75°
To find: Height of the kite from the ground.
Figure is attached.
In ΔABC
using trigonometric ratio,
[tex]sin\,75^{\circ}=\frac{AB}{AC}[/tex]
[tex]0.97=\frac{AB}{80}[/tex]
[tex]AB=0.97\times80[/tex]
AB = 77.27 m
AB = 77 m (approx.)
Therefore, Height of the kite from ground is 77 m.
Related Questions
Compare 0.409 and 0.490 with >,<,=
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hope this helps you
3^x : write in terms of base e and simplify! ...?
Answers
3x=e^ln3^x
=e^xln3
Let
[tex]y = {3}^{x} [/tex]
Writing the above exponential equation as a logarithmic equation, we obtain;
[tex] log_{3}(y) = x[/tex]
We can apply the change of base formula to obtain,
[tex] \frac{ log_{e}(y) }{ log_{e}(3) } = x[/tex]
Or
[tex] \frac{ ln(y) }{ln(3) } = x[/tex]
We can cross multiply to obtain;
[tex] ln(y) = x ln(3) [/tex]
Taking logarithm of both sides to base e, we obtain;
[tex] {e}^{ ln(y) } = {e}^{x ln(3) } [/tex]
This implies that,
[tex]y= {e}^{x ln(3) } [/tex]
But we know that,
[tex]y = {3}^{x} [/tex]
Hence
[tex] {3}^{x} = {e}^{x ln(3)} [/tex]
For a $1,000 loan at a rate of 16 3/4 % for 5 years, the simple interest is a. $83.75
b. $167.50
c. $500.00
d. $837.50
Answers
"Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not exist, enter DNE.)
f (x) = cos(πx/2)
Answers
Answer: The derivate is f'(x) = -sin(πx/2)*(π/2)
Step-by-step explanation:
We want the value of the derivate at each point marked:
As you may know, the derivate of cos(x) is equal to -sin(x)
And in our case:
f(x) = cos(πx/2)
f'(x) = -sin(πx/2)*(π/2)
Where the rule used is that the derivate of f(g(x)) is equal to f'(g(x))*g'(x)
Now, as you may see, in both the marked points the curve changes of direction, so the tangent line in that point must be zero, letsinput the values of x in the derivate and see if this is true:
f'(0) = -sin(π*0/2)*(π/2) = -sin(0)*(π/2) = 0
f'(2) = -sin(π*2/2)*(π/2) = -sin(π)*(π/2) = 0
So this makes sense.
A box has a width 9 inches less than its height and a length 7 inches more than its height.
a. If h is the height of the box, write a polynomial that represents the volume of the box.
b. Use this polynomial to calculate the volume for h = 17 inches.
Answers
l=h+7
w=h-9
a.
volume is height x width x length
v=h*(h+7)*(h-9)
now we have to multiply these values
h*(h+7)=h^2+7h
(h^2+7h)*(h-9)=h^3-9h^2+7h^2-63h=h^3-2h^2-63h
b.
now we plug in h=17
v=17^3 -2(17)^2 -63(17) = which comes out to 2686
note: **i suggest going through these steps on your own mostly because it's late and i'm tired and that seems like an awfully large number so you may want to check it
Which of the following is not an example of using the distributive property to multiply 12 times 22?
a. 12(20 + 2)
b. 22(10 + 2)
c. 10(2 · 22)
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It doesn't have the correct format and is mixed up.
What is the inverse of f(x)=-3x^3 6?
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The folding chair has different settings that change the angles formed by its parts. Suppose m2 is 34 and m3 is 76. Find m1The diagram is not to scale.
A. 130
B. 110
C. 100
D. 120
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first, the sum of angles in triangle is always 180°
so mx + m2 +m3 = 180°, so mx=1800-76-34=70°
but according to the figure m1 + mx=180°, so m1=180-mx=180-70=110°
the m1 = 110°
What are the 2 types of unbiased samples?
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find the missing angle of the triangle.
Answers
Temperature rose 9°f in 3 hours if the starting wad -5°f what was the final temperature
Answers
The distance a spring will stretch varies directly with how much weight is attached to the spring. if a spring stretches 9 inches with 100 pounds attached, how far will it stretch with 90 pounds attached? round to the nearest tenth of an inch.
Answers
Cross multiply to get 810 = 100x
Divide both sides by 100 to get x = 81 inches
solve for x. round to nearest tenth if needed.
1. 7r-7=2r+18
a.r=-5
b.r=5
c.r=2.2
d.r=1.2
2. 2x+12=18-x
a.x=3
b.x=10
c.x=6
d.x=2
3. 8x-3=15x+18
a.x=-3
b.x=3
c.x=2.1
d.x=0.9
4. 6y-6=4y+16
a.y=2.2
b.y=-2.2
c.y=11
d.y=5
5. 3(x-4)=5(x+2)
a.x=11
b.x=-11
c.x=1
d.x=-1
Answers
-----------------
2x+x=18-12→3x=6→x=2
---------------
8x-15x=18+3→-7x=21→x=-3
----------------
6y-4y=16+6→2y=22→y=11
--------------
3x-12=5x+10→3x-5x=10+12→-2x=22→x=-11
On solving the linear equations given, we get the values as 5, 2, -3, 11 and -11 for the equations 7r - 7 = 2r + 18, 2x + 12 = 18 - x, 8x - 3 = 15x + 18, 6y - 6 = 4y + 16 and 3(x - 4) = 5(x + 2) respectively.
What is Linear Equation?Linear equations are equations which includes one or more variables and constants with the highest degree of the variable being 1.
1. 7r - 7 = 2r + 18
Taking the variables on one side and constants on the other side,
7r - 2r = 18 + 7
5r = 25
r = 5
2. 2x + 12 = 18 - x
2x + x = 18 - 12
3x = 6
x = 2
3. 8x - 3 = 15x + 18
8x - 15x = 18 + 3
-7x = 21
x = -3
4. 6y - 6 = 4y + 16
6y - 4y = 16 + 6
2y = 22
y = 11
5. 3(x - 4) = 5(x + 2)
Multiplying each term inside the bracket by the term outside,
3x - 12 = 5x + 10
3x - 5x = 10 + 12
-2x = 22
x = -11
Hence we got the values of the unknowns as 5, 2, -3, 11 and -11 for the equations 7r - 7 = 2r + 18, 2x + 12 = 18 - x, 8x - 3 = 15x + 18, 6y - 6 = 4y + 16 and 3(x - 4) = 5(x + 2) respectively.
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name all opisties of -12
Answers
Write a proportion that can be used to find the cost of 10 notebooks if 3 notebooks cost $1.98.
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For 3 notebooks you pay $1.98 so the ratio is 1:0.66.
For 10 notebooks, then we could scale the ratio and it will become 10:6.60. So they will cost you $6.60.
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in a parallelogram consecutive angles are _
Answers
If 6 is 24% of a number, what is 40% of the same number?
(A) 8
(B) 10
(C) 15
(D) 20
Answers
To find 40% of the number where 6 is 24%, we first determine the whole number by dividing 6 by 0.24 to get 25. Then we calculate 40% of 25, which is 10.
If we know that 6 is 24% of a number, we can find the whole number by dividing 6 by 0.24. Once we have the full number, we can calculate 40% of it. Let's do the calculation step by step.
Calculate the whole number using the given percentage: Whole number = 6 / 0.24.
Perform the division to find the whole number: Whole number = 25.
Calculate 40% of the whole number: 40% of 25 = 0.40 * 25.
Perform the multiplication to find 40% of the number: 40% of 25 = 10.
Therefore, 40% of the same number is 10.
Clark Kent walks 3 miles west and then 4 miles north. How far is it for Superman to fly in a straight line back to his starting point? (It makes a right triangle.)
Answers
a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
sqr 25=sqr c^2
5=c
An increase in total assets can be financed by an increase in which of the following capital components:
a. debt
b. preferred stock
c. common equity
d. All of the above ...?
Answers
An electrician charges a $50 house call fee and $65 per hour for the work. Which algebraic expression represents this situation to represent the total cost for h hours of work?
Answers
Thus:
$50+$65h
The algebraic expression is Total Cost = 65h + 50.
Explanation:To represent the total cost for h hours of work, we need to consider the house call fee of $50 and the hourly rate of $65. The total cost will depend on the number of hours worked.
We can calculate the total cost using the expression: Total Cost = (Hourly Rate * Number of Hours) + House Call Fee.
Therefore, the algebraic expression that represents this situation is: Total Cost = 65h + 50.
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When you multiply or divide an inequality by a ______ number, you must flip the inequality symbol.
Answers
Find the area of the regular polygon. Give the answer to the nearest tenth.
dodecagon with a perimeter of 108 cm ...?
Answers
Length of each side = 108/12 = 9 cm.
Length of the apothem = (9/2)/tan 15 = 9/2tan 15 = 16.79 cm
Area of each triangle = 9/2(16.79) = 75.57 cm^2
Therefore, area of the dodecagon = 12(75.57) = 906.9 cm^2
a 12 sided regular polygon is composed of 24 right triangles with one side
half the length of a side = 4.5 cm
the other side is 4.5 / tan (360/24) = 4.5 / tan(15)
A = 24 (1/2) 4.5^2 / tan(15) = 906.9 cm^2
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can u show work 39472/78 ...?
Answers
78 x 5 = 390
Subtracting, then bringing down 7
47 is smaller than 78 so
78 x 0 = 0
Bringing down 2, we get 472
78 x 6 = 468
Subtracting, the remainder is 4
The answer is 506 with a remainder of 4.
is it possible for a line to pass through only one quadrant?
How about four quadrants? explain
Answers
yes it is possible for a line to only be in one quadrant and it is also possible for a line to be in multiple quadrants basically it can be any place on a plane
How to know if true or false?? HELP ASAP thank you!
picture added.
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Because a negative square root is an i
If you subtract the death rate from the birth rate of a population, you will calculate what?
A. the arithmetic growth rate.
B. the expansion rate.
C. the carrying capacity.
D. the intrinsic growth rate.
Answers
If you subtract the death rate from the birth rate of a population, you will calculate the carrying capacity.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Subtracting the death rate from the birth rate of a population calculates its intrinsic growth rate, expressed as dN = (b - d)N, where 'r' is the intrinsic rate of increase.
When you subtract the death rate (D) from the birth rate (B) of a population, you calculate the intrinsic growth rate of the population. The birth rate is typically expressed on a per capita basis, shown as B = bN, where 'b' represents the per capita birth rate and 'N' is the number of individuals in the population. Similarly, the death rate is expressed as D = dN, where 'd' is the per capita death rate. To find the population growth rate at a specific point in time, differential calculus is used to obtain an instant-specific measurement:
dN = (b - d)N
This formula simplifies the relationship between the birth and death rates, where 'b - d' is substituted with 'r', representing the intrinsic rate of increase. Therefore, the correct answer to the student's question is D. the intrinsic growth rate.
A jug of juice holds 8 cups. convert 8 cups to pints
Answers
8 cups convert to pints = 4 pints
Further explanation7 main quantities have been determined based on international standards, namely:
1. Length, meters (m)2. Time, second (s)3. Mass, kilograms (kg)4. Temperature, kelvin (K)5. Light intensity, candela (cd)6. Electric current, ampere (A)7. Amount of substance, mol (m)Volume is a derivative quantity derived from the length
The unit of volume can be expressed in liters or milliliters or cubic meters
The conversion is
1 cc = 1 cm³
1 dm = 1 Liter
1 mL = 1 cm³
1 L = 1 dm³
The other common units for US standart volume are :
Fluid OuncesCupsPintsQuartsGallonsThe conversion for all those units :
1 gallon = 4 quarts = 8 pints = 16 cups = 128 fluid ounces
The conversion for pints and cups :
[tex]\large{\boxed{1\:pints=2\:cups}}}[/tex]
A jug of juice holds 8 cups
so 8 cups = 8 : 2 pints
8 cups = 4 pints
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Keywords: volume,pints, cups, a jug, juice
your weekly wage is $400 what is your annual?
Answers
$400 x 52 = $28000
If M(-8, 12) is the midpoint of segment PQ, and P(8, 0), find the coordinates of Q.
Answers
Q(x2,y2)=(a,b)
M(x,y)=(-8,12)
x1+x2/2=-8;y1+y2/2=12
8+x2=-16;0+y2=24
x2=-24;y2=24
Q(x2,y2)=(-24,24)
Solve the inequality.
p – 9 < –9
Answers
p-9 < -9
p-9+9 < -9+9
p <0