Question

A skate board ramp is built on an incline so that 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

Answer:

θ = 27.47°

Step-by-step explanation:

This problem can be represented as a right-angled triangle, as shown in the diagram below.

To find θ, we apply the tangent part of the trigonometric ratios SOHCAHTOA:

tanθ = $\frac{opposite}{adjacent}$

In the diagram, opposite = 1.3 m and adjacent = 2.5 m

Hence:

tanθ = $\frac{1.3}{2.5}$

tanθ = 0.52

θ = $tan^{-1} 0.52$

θ = 27.47°

The ramp forms 27.47° with the ground.