Question

Courtney made a 5.5 foot ramp

to help her dog get in her minivan.
If the back of her van is 3 feet
from the ground, what will be the
angle of elevation from the base of
the ramp to the van?

Answer 1

9514 1404 393

Answer:

33°

Explanation:

We assume the 5.5 foot measurement is the length of the ramp surface. It will be the hypotenuse of a right triangle with the 3 ft side opposite the angle of interest. The applicable relationship is ...

Sin = Opposite/Hypotenuse

sin(angle) = (3 ft)/(5.5 ft)

angle = arcsin(3/5.5) ≈ 33.0°

The angle of elevation of the ramp is about 33°.