Question

A ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 25​-foot ​ramp, to the nearest tenth of a​ degree, if its final height is 4 feet.

Answer 1

Explanation:

The angle of elevation of the 23​-foot ​ramp, to the nearest tenth of a​ degree, if its final height is 5 feet is 12.6°.

What is Sine?

The Sine or Sinθ in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

this is where

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

We know that the length(Hypotenuse) of the ramp is 23 feet, while the height(Perpendicular) of the ramp is 5 feet. Thus, using the Sine function of the trigonometry can be written as,

so,the angle of elevation of the 23​-foot ​ramp, to the nearest tenth of a​ degree, if its final height is 5 feet is 12.6°.