A skateboarding ramp is 10 in. high and rises at an angle of 15 °. How long is the base of the ramp? Round to the nearest inch.

A skateboarding ramp is 10 in. high and rises at an angle of 15 °-The base of the ramp is 37.3 inches long.

Step-by-step explanation:

Let x represent the length of base of ramp.

It is given that a skateboarding ramp is 10 in high and it rises at an angle of 15 degrees. We need to find the base of the skateboard.

The height of ramp, the base of ramp and angle of elevation make a right triangle with ground, where, 10 inch is opposite side and base of ramp is adjacent side of angle of elevation.

we Know that

tan=opposite/adjacent

tan (15 °) = 10/x

x=10/tan (15 °)

x=10/0.267949192

x=37.32

Therefore, the base of ramp is 37.3 inches long.