Question

Jack is in a helicopter and looking down at two friends’ homes. The angle of depression to the first home is 72°. The angle of depression to the second home is 49°. If the homes are 420m apart, what is the distance between the helicopter and the first home?

Answer 1

The distance between the helicopter and the first home is 369. 87 m

How to solve the distance using the angle of depression?

The distance between the helicopter and the first home can be found using sine law,

Hence,

180 - 72 - 49 = 59 degrees.

Therefore,

420 / sin 59 = A / sin 49°

where

• A  = distance form the first home to the helicopter.

cross multiply

420 sin 49 = A sin 59°

A = 420 sin 49 / sin 59

A = 316.978023694 / 0.8571673007

A = 369.869339199

A = 369. 87 m

Therefore, the distance between the helicopter and the first home is 369. 87 m

learn more on angle of depression here: brainly.com/question/1976859

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