A phane takes off at an angle of elevation of 15 ° and travels in a straight line for 3,000 meters. What is the height of plane above the ground at this instant ?

Answers

Answer 1

Using SOHCAHTOA we have:
sin15 = height / 3000
height = 3000 sin 15 height = 776.46m

So, the height of the plane above the ground at this instant is 776.46m

Answer 2

Final answer:

The height of the plane above the ground after traveling 3,000 meters at a 15° angle of elevation is approximately 776.4 meters. This is calculated using the sine function: height = 3,000 m × sin(15°).

Explanation:

To find the height of the plane above the ground after taking off at an angle of elevation of 15° and traveling for 3,000 meters, we can use trigonometric functions. Specifically, the sine function relates the opposite side of a right-angled triangle (in this case, the height above ground) to the hypotenuse (the distance traveled by the plane).

The sine of an angle in a right triangle is equal to the length of the opposite side divided by the length of the hypotenuse. The formula is:

height = hypotenuse × sin(angle)

Here, the hypotenuse is the distance traveled by the plane (3,000 m), and the angle is 15°. Thus, the calculation would be:

height = 3,000 m × sin(15°)

We can calculate the sine of 15° using a calculator.

height = 3,000 m × 0.2588 (approximately)

height = 776.4 m (approximately)

Therefore, the plane is approximately 776.4 meters above the ground.

Related Questions

Which equivalent expression will be generated by applying the Distributive Property and combining like terms in the expression 11 + 4(x + 2y + 4)?

Answers

11 + 4(x + 2y + 4) =
11 + 4x + 8y + 16 =
4x + 8y + 27

A caters fee is based on the number of meals she provides. How much is the price per meal if the total fee is $1,088 for 64 meals?

Answers

$1,088 ÷ 64 = $17 per meal

Which number in the monomial 215x18y3z21 needs to be changed to make it a perfect cube?
3
18
21
215

Answers

We need to remember that:
xyz = (x)(y)(z)
if x, y and z are perfect cubes, then xyz would also be a perfect cube

Also,
(x^n)^m = x^(mn)
if it is a perfect cube, then it can be factored into the expression (x^n)^3, wherein n is a whole number.

All should be a perfect cube, given

215x^18(y^3)(z^21)

By writing the terms separately, we would see which one is to be changed.

215 = 5*43, we see this is not a perfect cube, we could changed it to 6^3 or 216

x^18=(x^6)^3

y^3=y^3
z^21=(z^7)^3

The other terms are perfect cubes except for the first one. So the correct answer would be the last option, 215 should be changed.

Answer:

D; 215

Step-by-step explanation:

EDGE

An amusement park sells child and adult tickets at a ratio of 8 to 1. On Saturday they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Saturday?

Answers

c=8a
c=a+147

8a=a+147
7a=147
a=147/7
a=21 Adult Tickets c=8a=8 (21)= 168 Children Tickets Total Tickets = 21+168=189 Tickets is your answer

NEED HELP!!! 80 POINTS! (sike)

At the airport, ten people are waiting on standby. Two seats become available, one first class and one coach. How many ways are there to fill the two seats?

A. 10
B. 20
C. 45
D. 90

Answers

1st seat there are 10 people so 10 different ways to fill it

2nd set there are 9 people left so 9 different ways to fill it

10 x 9 = 90

there are 90 ways to fill the seats

Answer:

d. 90

Step-by-step explanation:

Six less then two thirds of a number is negative ten what is the number

Answers

2/3X-6 = -10

2/3x = -4

x = -4 / 2/3 = -6

X = -6

check:

2/3(-6) - 6 = -4 -6 = -10 TRUE

A regular pentagonal prism has a height of 14 in. and a base edge length of 10 in. Identify its lateral area and surface area.
Can anyone help me solve this?

Answers

The lateral faces of the prism are 5 rectangles with dimensions 10 by 14.

So the lateral area = 5 * 10 * 14 = 700 (in squared)

Consider one of the bases of the prism.

As shown in the figure, the pentagon is made up of 5 isosceles triangles.

The vertex of each of these 5 triangles is 360°/5=72°.

Draw the altitude, which forms 2 right triangles with angle measures 36°-54°-90°.

Let he hypotenuse be s and the altitude be h in, as shown in the figure.

x*cos54°=5

x=5/(cos54°)=5/(0.588)=8.5

then,

h=x*sin54°=8.5*(0.8)=6.8 (in)

Thus, the area of one of the 5 congruent isosceles triangles is

[tex] \frac{1}{2}*10*6.8= 34[/tex] (in squared)

The area of the pentagonal base is 34*5 = 170 (in squared)

Thus the surface area = lateral area + 2 base area
= 700+2*170 = 700+340 = 1040 (in squared)

Answer:

lateral area: 700 in squared

surface area: 1040 in squared

Answer:

L = 700 in2 ; S = 1044.1 in2

Step-by-step explanation:

Lucky guess :)

explain how complex fractions can be used to solve problems involving ratios

Answers

when you have ratios and some unknowns you can create complex fractions from them.Bring them to the same denominator and solve for X.

Vincent is giving cakes to some children at a carnival. He has 2 strawberry cakes, 6 pineapple cakes, and 7 chocolate cakes. If Vincent selects a cake randomly without looking, what is the probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child? (5 points)

6 over 15 multiplied by 2 over 14 is equal to 12 over 210

6 over 15 plus 2 over 14 is equal to 114 over 210

6 over 15 multiplied by 2 over 15 is equal to 12 over 225

6 over 15 plus 2 over 15 is equal to 8 over 15

Answers

2+6+7 = 15 total cakes

6 pineapple so probability is 6/15

then there would be 14 cakes

2 strawberry for a probability of 2/14

6/15 x 2/14 = 12/210

the first answer is the right one

Answer:

[tex]\frac{12}{210}[/tex]

Step-by-step explanation:

Strawberry cakes = 2

Pineapple cakes = 6

Chocolate cakes = 7

Total cakes = 15

Now we are given that Vincent selects a cake randomly without looking, and he will give a pineapple cake to the first child

So, probability of getting a pine apple cake in first draw = [tex]\frac{\text{No. of pineapple cakes}}{\text{Total no. of cakes}}[/tex]

= [tex]\frac{6}{15}[/tex]

Now total no. of remaining cakes = 15-1 =14

Now we are given that Vincent selects a cake randomly without looking, and he will give a strawberry cake to the second child

So, So, probability of getting a strawberry cake in second draw= [tex]\frac{2}{14}[/tex]

So, the probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child = [tex]\frac{6}{15} \times\frac{2}{14} [/tex]

= [tex]\frac{12}{210}[/tex]

Hence Option A is true.

The probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child is [tex]\frac{12}{210}[/tex]

How to show numbers are related to each other

Answers

Human and non-human species possess a mental system of number representations that appear early in the lifespan and that supports approximate number skills, such as numerical estimation or number comparison. With the later acquisition of language and of symbolic numbers, human beings also develop exact number skills that allow using numbers precisely, such as in counting and arithmetic. The current review points out the behavioral data which either support or challenge these contrasting proposals. In an attempt to provide a comprehensive overview of these mixed data, we carefully took into account the heterogeneity of the available studies regarding the kind of tasks, stimuli or ages of assessment. Also, you can show how the numbers are related simply by identifying the tenth place value of each digit.

which of the following best describes a regular polygon when the sum of its interior angles is 1080 degrees A.) octagon B.) heptagon C.) hexagon D.) nonagon

Answers

a) octagon

1080= (n-2)180
1080/180=6

6=(n-2)
n=8
(This is the formula for finding the sum of interior angles in polygons. n represents the number of sides in the polygon)

Answer:

Option A is correct.

Step-by-step explanation:

Given: Sum of all the interior angles of a regular polygon = 1080°

To find: number of sides or name of polygon.

We know that Sum of all interior angle of a regular polygon is given by following formula,

Sum of all angles = ( n - 2 ) × 180° , where n = no of sides.

⇒ 1080° = ( n - 2 ) × 180°

n - 2 = 6

n = 6 + 2

n = 8

Name of regular polygon is Regular Octagon.

Therefore, Option A is correct.

Write this number in word form

Number:284028

Answers

two hundred eighty-four thousand and twenty-eight

hope this helps

Two hundred eighty four thousand twenty eight

Hopes this help and please give me a thanks

Choose the system of equations which matches the following graph:

A. 5x - y = 7
2x - y = 0

B. 5x - y = 7
2x + y = 0

C. 5x + y = -7
2x + y = 0

D. 5x + y = -7
2x - y = 0

Answers

Answer:

Option B : [tex]5x - y = 7[/tex]

[tex]2x + y = 0[/tex]

Step-by-step explanation:

Intersecting point on the graph = (1,-2)

Substitute this point in the given options .

A. [tex]5x - y = 7[/tex]

[tex]2x - y = 0[/tex]

Substitute (1,-2)

[tex]5(1) - (-2) = 7[/tex] and [tex]2(1) -(-2) = 0[/tex]

[tex]7 = 7[/tex] and [tex]4 \neq 0[/tex]

So, this system of equations does not matches the graph.

B. [tex]5x - y = 7[/tex]

[tex]2x + y = 0[/tex]

Substitute (1,-2)

[tex]5(1) - (-2) = 7[/tex] and [tex]2(1)+(-2) = 0[/tex]

[tex]7 = 7[/tex] and [tex]0= 0[/tex]

So, this system of equations matches the graph.

C.[tex]5x + y = -7[/tex]

[tex]2x + y = 0[/tex]

Substitute (1,-2)

[tex]5(1) - (-2) = -7[/tex] and [tex]2(1)+(-2) = 0[/tex]

[tex]7\neq -7[/tex] and [tex]0= 0[/tex]

So, this system of equations does not matches the graph.

D. [tex]5x + y = -7[/tex]

[tex]2x - y = 0[/tex]

Substitute (1,-2)

[tex]5(1) - (-2) = -7[/tex] and [tex]2(1) -(-2) = 0[/tex]

[tex]7\neq -7[/tex] and [tex]4 \neq 0[/tex]

So, this system of equations does not matches the graph.

Answer:

B. 5x - y = 7

2x + y = 0

Step-by-step explanation:

took test

Rita bought fabric and ribbon from a store the ribbon cost $18.50 rita paid the cashier $50.00 and received change of $5.25 how much did the fabric cost

Answers

1.Rita spent $26.25 on fabric.

2. I know this because...
- First, I subtracted the cost of the ribbon from how much she paid.
· Equation: $50.00 - $18.50 = $31.50

- Second, I subtracted the change received by the reduced cost ($31.50)
· Equation: $31.50 - $5.25 = $26.25

3. So, the final amount of money Rita spent on fabric is $26.25.
______________________________________________________________

I am 99.9% sure that this is the correct answer. If for some reason my answer is incorrect, I am truly sorry, and please forgive me. Thank You!

The table shows the number of students in a school who like dodgeball and/or ping pong:

Like Dodgeball
Do Not Like Dodgeball
Total
Like Ping Pong
26
18
44
Do Not Like Ping Pong
24
32
56
Total
50
50
100

What is the relative frequency, by row, of students who like both dodgeball and ping pong?

0.22
0.40
0.48
0.59

PLEASE HELP !!!

Answers

Hi!

I've included the table so it's easier to visualize.

Divide the amount of students who like ping pong and dodge ball (26, it's highlighted in the image) by the total amount of students that like ping pong (44).

26/44 = 0.59

The answer is 0.59

Hope this helps! :)

Answer:

0.59

Step-by-step explanation:

5b-2=13 what does b equal

Answers

5b-2=13 add 2 to both sides

5b=15 divide both sides by 5

b=3

5b-2=13

add 2 to both sides

5b=15

divide both sides by 5

b = 15/5 = 3

b=3

A pudding recipe makes 4 1/2 cups of pudding. How many 1/3 cup servings does this equal?

Answers

4 1/2 cups = 9/2 cups

9/2 / 1/3=

9/2 * 3/1 = 27/2 = 13 1/2 servings at 1/3 cup each

Answer:

13 1/2

Step-by-step explanation:Just trust

Number 8 please it will help a lot

Answers

well it all depends on the object you are using but in this case lets say remote control cars. You can have an example like "we drove the car around the building twice. the first time it was -8 than how fast it was supposed to go. the second time it was 9. In which round was the car faster?" I dont think i helped very much but i hope i did

Help!! Image attached, will put most brainliest

Answers

The answer is D, y - 4 = -2(x - 1).

Point Slope Form: y - y₁ = m(x - x₁)

Info Given:
Coordinates - (1,4)
Slope: -2

(1,4)
x₁ y₁

Plug slope and point into formula: y - 4 = -2(x -1)

Point-slope form : y - y₁ = m(x - x₁)

Slope = -2

Passes through (1, 4)

We simply need to plug it into the point-slope equation :)

y - y₁ = m(x - x₁)

* m = slope

y - 4 = -2(x - 1)

D) y - 4 = -2(x - 1)

~Hope I helped!~

Jack wants to fill a rectangular box with sand. The length of the sand box is 3 feet, width is 6 inches, and height is 2.4 inches. Each bag of sand contains 0.15 cubic foot of sand. How many bags of sand will Jack need to fill the box completely? [1 foot = 12 inches] numerical answers expected

Answers

3 feet = 36 inches

36 x 6 x 2.4 = 518.4 cubic inches

1 cubic foot = 1728 cubic inches

518.4/1728 = 0.3 cubic feet

0.3/0.15 = 2

he will need 2 bags

Use the Distributive Property to simplify each expression:
6(a + 10)
(5 + w)5
14(4f - 8)
2.1(5w -15)
0(3.7x - 4.21)
-(-m + n + 1)

Answers

6a + 60

5w + 25

56 f - 122

10.5 w - 31.5

m - n -1

How many different nine player batting orders can be chosen from a baseball team of 16?

Answers

This problem is basically [tex]_{16}P_9[/tex]

[tex]_nP_r = \frac{n!}{(n - r)!}[/tex]

If I plug in n = 16 and r = 9

[tex]\frac{16!}{(16-9)!} = \frac{16!}{7!} = 4151347200[/tex]

So there are 4151347200 different nine player batting orders that can be chosen from a baseball team of 16 :)

A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box? The formula for the volume is V = l ⋅ w ⋅ h.

193.8 cubic inches (in3)
2325.6 cubic inches (in3)
1.35 cubic inches (in3)
16.15 cubic inches (in3)

Answers

We have to convert feet to inches:
1 foot = 12 inches
1.7 feet = 1.7 * 12 = 20.4 in
The formula for the volume is:
V = l * w * h
and: l = 19 in, w = 20.4 in, h = 6 in.
V = 19 in * 20.4 in * 6 in = 2,325.6 in³
Answer: B ) 2,325.6 in³

Find the area of the parallelogram shown below

Answers

[tex]A=bh \\ b=7, \ \ h=5 \\ \\ A=7*5=35 \ \text{units}^2 [/tex]

I think its 35

5 * 7 =
35

what is the value of x and y

Answers

x = 5 ; y = 0

First, square root x^2 + y^2 = 25, then you get x + y = 5
Elimination. Multiply x + y = 5 by -1, then you get -x - y = -5.

2x + y = 10
-x - y = -5
---------------
x = 5

What is the measure of angle 4?

Answers

<4 + <3 = 180
7x + 23x = 180
30x = 180
x = 6

m<4 = 7x = 7(6) = 42

answer
B. 42 (Second choice)

Find the outlier of the set of data: 24, 37, 33, 31, 28, 25, 33, 12

Answers

Outlier - A value that "lies outside" than most of the other values.

The outlier is therefore 12, because it is not in the general range of values, which is on average around 29.

Answer:

The outlier of the set is 12.

Step-by-step explanation:

Consider the provided set of data:

4, 37, 33, 31, 28, 25, 33, 12

The outlier is a kind of data which is abnormal distance from the other points.

Or the data that lies outside the other value in the provided set.

Now consider the data.

12 is lies outside the other values because the distance is abnormal.

The number 12 is not close to any of the other numbers.

Hence, the outlier of the set is 12.

what is 1 and 6/24 simplified as ?

Answers

1 and 1/4 is the answer

[tex] 1\frac{6}{24} = \frac{30}{24} = \frac{5}{4} (a.k.a)1\frac{1}{4} [/tex]

I WILL GIVE BRAINLIEST please answer both parts

If 365 work days are split among 12 employees evenly

PART: A How can you rewrite this as a fraction?

PART:B What does the fraction represent?

Answers

Q) If 365 work days are split among 12 employees evenly

Part A: To understand this question, you need to read carefully and pick out key words that tells you what to do. All math word / puzzle problems have key words that tell you what you need to do.

For instance, the key word split tells us we need to divide. So, we know we have 365 work days that need to be split among 12 employees. So for Part A:

365 / 12

For Part B it wants to know what this represents. It represent the number of days each of the 12 employees will get if split evenly among each employee.

The following table shows the monthly charges for subscribing to the local newspaper.

Number of Months
1
2
3
4
5
Total Cost ($)
15.25
30.50
45.75
61.00
76.25

Identify the independent and dependent variables in the newspaper subscription table.
a.
independent -- Total Cost
dependent -- Number of Months
c.
independent -- Total Cost
dependent -- Month of the Year
b.
independent -- Cost per Paper
dependent -- Number of Months
d.
independent -- Number of Months
dependent -- Total Cost

Answers

D. independent -- Number of Months
dependent -- Total Cost

The dependent Variable depends on the independent variable so, as the number of months change, the total cost changes.

Other Questions