Question

A loading ramp is extended from the back of a truck to form a 30° angle with the ground. The truck and the ramp are both on level ground. If the length of the ramp is x feet, how high is the back of the truck from the ground?

A) 2x feet
B) x√3/2
C) x√3
D) x/2

Answer 1

Height between ground and truck = 5.5 feet

Explanation:

Given:

Angle of elevation = 30°

Length of the ramp = 11 feet

Find:

Height between ground and truck

Computation:

Length of the ramp = Hypotenuse

Height between ground and truck = Perpendicular

Sin θ = Perpendicular / Hypotenuse

Sin 30 = Height between ground and truck / Length of the ramp

0.5 = Height between ground and truck / 11

Height between ground and truck = 0.5 x 11

Height between ground and truck = 5.5 feet