Question

Marques wants to use a sheet of fiberboard 36 inches long to create a skateboard

ramp with a 30° angle of elevation from the ground. How high will the ramp rise
from the ground at its highest end?Round to the nearest tenth if necessary

Answer 1

Answer: 18 inches

Explanation:

We will create a right triangle with the given information to solve. See attached. We are given the hypotenuse and are solving for the opposite side of the given length. This means we will use the sine trigonometric function to create an equation.

Given:

sinθ =
`(opposite)/(hypotenuse )`

Substitute known values:

sin(30°) =
`(x)/(36\;inches)`

Multiply both sides of the equation by 36 inches:

36 * sin(30°) = x

Multiply the left side of the equation down:

18 inches = x

Reflexive property:

x = 18 inches

The ramp at the highest end will be 18 inches from the ground.