Question

The gondola ski lift at a Colorado ski resort is 2671 m long. On average, the ski lift rises 14.2° above the horizontal. How high is the top of the ski lift relative to the base?

Answer 1

Answer:

$y=677.29m$

Explanation:

Given data

Distance r=2671 m

Angle α=14.2°

To find

High is the top of the ski lift relative to the base

Solution

As we know that

$y=rSin\alpha$

Substitute the given values

$y=2671Sin(14.2^{o} )\\y=677.29m$

So the ski lift is 677.29m high