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

4sqrt5

step-by-step explanation:

the base has dimensions of 8 x 4, so the diagonal is 64 + 16 square rooted or 4sqrt5.

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1