Question

Jamie decides to build an accessibility ramp to help students reach the top of a set of stairs. If BI is 24 feet and AB is 10 feet, what is the measure of elevation of the ramp. (round to the nearest whole number)

Answer 1

The measure of elevation is 65.4° above the ground.

Explanation:

The measure of elevation refers to angle of elevation.

The problem forms a right triangle, and we know its hypothenuse and the horizontal leg. Using trigonometric reason we find the angle

`cos \theta = (10)/(24)\\ \theta = cos^(-1) ( (10)/(24)) \approx 65.4`

Therefore, the measure of elevation is 65.4° above the ground.