Answer:
length of ramp ≈ 35.94 inches
Explanation:
The illustration forms a right angle triangle. The opposite side of the triangle is the height of the ramp . we were asked to find the length of the base of the ramp which is the adjacent side
opposite side = 16 inches
angle between the hypotenuse and adjacent side = 24°
Using tangential ratio
tan 24° = opposite/adjacent
tan 24° = 16/a
cross multiply
a tan 24° = 16
divide both sides by tan 24°
a = 16/tan 24°
a = 16/0.4452286853
a = 35.9365883832
a ≈ 35.94 inches