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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?

User Ruberoid
by
4.4k points

2 Answers

1 vote

Answer:

24.47

Explanation:

User Arsal
by
4.7k points
3 votes

Answer:

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.

A skate board ramp is built on an incline so that it rests on a porch that is 1.3m-example-1
User Mouffette
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5.3k points