Question

Brian wants to build a ramp that leads to a storeroom 5 meters above the ground. He wants the ramp to be 10 meters long. What should the angle of evelation of the ramp be?

A- 15
B- 30
C- 45
D- 60

Answer 1

you should have an angle of elevation of 30 degrees.

Answer 2

30°

Explanation:

Given :

Brian wants to build a ramp that leads to a storeroom 5 meters above the ground.

He wants the ramp to be 10 meters long.

To Find : What should the angle of elevation of the ramp be?

Solution:

Refer the attached figure

Height of ramp i.e.AB = 5 m

Length of Ramp i.e.AC = 10 m

We are supposed to find the angle of elevation i.e. ∠ACB

We will use trigonometric ratio

`Sin\theta=(Perpendicular)/(Base)`

`Sin\theta=(AB)/(AC)`

`Sin\theta=(5)/(10)`

`Sin\theta=(1)/(2)`

`\theta=Sin^(-1)((1)/(2))`

`\theta=30^(\circ)`

Hence the angle of elevation of ramp is 30°