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?
1 answer:
Answer:
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
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