Question

A ramp 22 ft long rises to a platform that is 16 ft off the ground. Find x, the angle of elevation of the ramp

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22
1
16
Platform
Ground
0
2023 McGra

Answer 1

≈36.87 degrees

Explanation:

To find the angle of elevation (x) of the ramp, you can use trigonometry. The situation forms a right triangle where the ramp's length is the hypotenuse, the height of the platform is the opposite side, and the horizontal distance is the adjacent side.

You can use the tangent function to find the angle of elevation (x):

tan(x) = opposite/adjacent

In this case:

opposite side = height of the platform = 16 ft

adjacent side = horizontal distance = the length of the ramp = 22 ft

Now, plug these values into the formula:

tan(x) = 16/22

Next, calculate the value of x by taking the arctan (inverse tangent) of both sides:

x = arctan(16/22)

Now, use a calculator to find the arctan:

x ≈ arctan(16/22) ≈ 36.87 degrees

So, the angle of elevation of the ramp is approximately 36.87 degrees