Question

the angle of elevation from the bottom of the lift to the top of Snowbowl mountain is 33 degrees. If the height of the mountain is 544 meters, what is the length of a list from the bottom of a mountain to the top?​

Answer 1

Explanation:

`tan33=544/x\\ \\ x=(544)/(tan33)m\\ \\ x\approx 837.7m`

Answer 2

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Answer:

999 meters

Explanation:

The length of the lift line represents the hypotenuse of a right triangle. The side opposite the given angle is the height of the mountain. The applicable trig relation is ...

Sin = Opposite/Hypotenuse

We want to find the hypotenuse, so we use the rearranged form ...

hypotenuse = (mountain height)/sin(33°)

lift length = (544 m)/sin(33°) ≈ 998.83 m

The length of the lift from bottom to top is about 999 meters.