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

Answer:

30°

Step-by-step 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

$Sin\theta=\frac{Perpendicular}{Base}$

$Sin\theta=\frac{AB}{AC}$

$Sin\theta=\frac{5}{10}$

$Sin\theta=\frac{1}{2}$

$\theta=Sin^{-1}(\frac{1}{2})$

$\theta=30^{\circ}$

Hence the angle of elevation of ramp is 30°