Question

The angle that is formed from the foot of a polar bear foot to the top of the an igloo is 17°. If the polar bar is standing 131 feet from the base of the igloo, how tall is the igloo?

Answer 1

Let AB be the igloo

C be the polar bear

According to the given information:

· ∠ABC = 90° (The igloo and the ground)

· ∠ACB = 17° (The foot of the polar bear to the top of the igloo)

· BC would be the distance between the polar bear and the igloo, BC = 131 ft

The height of the igloo is:

tan 17° = AB / BC

AB = tan 17° × BC

AB = tan 17° × 131

AB = 40.05 ft