A builder wishes to construct a ramp 24 feet long that rises to a height of 5 feet above the ground. Find the angle of elevation of the ramp.

glasskerfu

glasskerfu

Answered question

2020-12-27

A builder wishes to construct a ramp 24 feet long that rises to a height of 5 feet above the ground. Find the angle of elevation of the ramp.

Answer & Explanation

Nicole Conner

Nicole Conner

Skilled2020-12-28Added 97 answers

Let θ be the angle of elevation of the ramp. Draw a right triangle where the side opposite θ is 5 feet and the hypotenuse is the ramp that is 24 feet long.
Using sine ratio, we can write:

sinθ=opphyp=524

θ=sin1524

Use a calculator in Degree mode:

θ12.0°

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