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?

Respuesta :

9514 1404 393

Answer:

  33°

Step-by-step 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°.