A handicap ramp that is 25 feet long coves a ground distance of 22 feet. To the nearest degree, what is the angle of elevation of incline for the handicap ramp?

Question

asked Feb 27, 2021 220k views

1 Answer

Noisecapella · Answer 1 · 2021-03-05T20:01:35+0000

Answer:

28.36°

Explanation:

The problem represents a right angled triangle as shown in the diagram below.

The length of the handicap ramp is 25 feet.

The side ground distance covered by the ramp is the adjacent of the angle of the triangle and it is 22 feet.

To find the angle of elevation of the incline, we apply SOHCAHTOA:

cos θ = adj / hyp

Therefore:

$cos \alpha = 22 / 25\\\\cos \alpha = 0.88\\\\\alpha = cos^(-1) 0.88\\\\\alpha = 28.36^o$

The angle of elevation of the incline for the handicap ramp is 28.36°.