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

Answer:

The measure of elevation is 65.4° above the ground.

Step-by-step 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

$cos \theta = \frac{10}{24}\\ \theta = cos^{-1} ( \frac{10}{24}) \approx 65.4$

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