A polar bear is standing at the bottom of a snow pile, waiting for her cub to slide down. If the angle of elevation from the bottom of the snow pile to the top is 46°, and the height of the snow pile is 9 ft, find the distance between the polar bear and the top of the snow pile.

Distance between polar bear and top of pile = 12.51 ft (approx.)

Explanation:

Given:

Angle of elevation = 46°

Height of the snow pile = 9 ft

Find:

Distance between polar bear and top of pile

Computation:

Using trigonometry function

Sin 46° = Height of the snow pile / Distance between polar bear and top of pile

Sin 46° = 9 / Distance between polar bear and top of pile

Distance between polar bear and top of pile = 9 / 0.7193

Distance between polar bear and top of pile = 12.51 ft (approx.)

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