Question

A skateboard ramp is built on an incline it rests on a porch that is 1.3m high. The bottom of the ramp is placed 2.5m from the porch. What is the angle that the ramp forms with the ground?

Answer 1

The angle that the ramp forms with the ground is 27.5°

Explanation:

Check the attachment for the figure.

Using the SOH CAH TOA trigonometry identity

For TOA

Tan(theta) = opposite/adjacent

Given opposite = 1.3m(side facing the angle of inclination

Adjacent = bottom of the ramp= 2.5m

Tan(theta) = 1.3/2.5

Tan(theta) = 0.52

theta = arctan0.52

theta = 27.5°