Question

Charlotte wants to use a sheet of fiberboard 34 inches long to create a skateboard
ramp with a 20° angle of elevation from the ground. How high will the ramp rise
from the ground at its highest end? Round your answer to the nearest tenth of an
inch if necessary.

Answer 1

Using the slope concept, it is found that the rarmp will rise 12.4 inches at it's highest end.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, the horizontal change is of 34 inches with an angle of 20º, hence:

$\tan{20^\circ} = \frac{h}{34}$

h = 34 x tan(20º)

h = 12.4.

The rarmp will rise 12.4 inches at it's highest end.

More can be learned about the slope concept at https://brainly.com/question/18090623