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
[tex]Sin\theta=\frac{Perpendicular}{Base}[/tex]
[tex]Sin\theta=\frac{AB}{AC}[/tex]
[tex]Sin\theta=\frac{5}{10}[/tex]
[tex]Sin\theta=\frac{1}{2}[/tex]
[tex]\theta=Sin^{-1}(\frac{1}{2})[/tex]
[tex]\theta=30^{\circ}[/tex]
Hence the angle of elevation of ramp is 30°
