Question

A tourist is riding a chairlift that ascends the mountain at an angle of 51°. If the chairlift goes up a

total of 1,200 vertical feet, how long is the cable for the lift?

Answer 1

1544.1 ft to the nearest tenth.

Explanation:

We have a triangle where we have to find the hypotenuse and the opposite side to the given angle = 1200 feet.

So we use the sine function ( sin = opp / hyp).

sin 51 = 1200 / h

h = 1200 / sin 51

h = 1544.111 ft.