Question

A skateboarding ramp is 12 in high and rises at an angle of 17 degrees. How long is the base of the ramp?

Answer 1

Answer:

39.3 inches

Step-by-step explanation:

Let x represent the length of base of ramp.

We have been given that a skateboarding ramp is 12 in high and rises at an angle of 17 degrees. We are asked 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, 12 inch is opposite side and base of ramp is adjacent side of angle of elevation.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(17^{\circ})=\frac{12}{x}$

$x=\frac{12}{\text{tan}(17^{\circ})}$

$x=\frac{12}{0.305730681459}$

$x=39.25023$

$x\approx 39.3$

Therefore, the base of ramp is 39.3 inches long.

Answer 2

Check the picture below.

make sure your calculator is in Degree mode.