A skateboarding ramp is 16 in. High and rises at an angle of 24. How long is the base of the ramp?

length of ramp ≈ 35.94 inches

Step-by-step 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