Question

The floor of a moving van is 3 feet off of the ground. The ramp into the van makes a 22. 3 angle with the ground. How long is the ramp?

12. 0 feet


7. 3 feet


3. 2 feet


7. 9 feet

Answer 1

(d) 7.9 ft

Explanation:

The geometry of the problem can be represented by a right triangle whose hypotenuse is the ramp, and the side opposite the given angle is 3 feet. Then the relevant trig relation is ...

Sin = Opposite/Hypotenuse

Solving for Hypotenuse, we find ...

Hypotenuse = Opposite/Sin

ramp length = (3 ft)/sin(22.3°) ≈ 7.9 ft

The ramp is about 7.9 feet long.