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

24.47

Explanation:

Answer 2

θ = 27.47°

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 =
`(opposite)/(adjacent)`

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

Hence:

tanθ =
`(1.3)/(2.5)`

tanθ = 0.52

θ =
`tan^(-1) 0.52`

θ = 27.47°

The ramp forms 27.47° with the ground.