Question

If a skier travels 5600 feet up a ski lift whose angle of inclination is 30°. How high above his starting level is the​ skier?

Answer 1

2800 feet

Explanation:

See the diagram in the attached. Let p be the height of the skier above his starting level.

Using the SOH CAH TOA notation,

p = the opposite side

5600 ft = Hypotenuse side

Therefore,

Sin 30 = p/5600

p = 5600 Sin 30

p = 5600 × 0.5

p = 2800 ft

The skier is 2800 feet high above his starting level.