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posledela
2 years ago
14

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 d

epression to the second home is 49°. If the homes are 420m apart, what is the distance between the helicopter and the first home?
Mathematics
1 answer:
alexandr402 [8]2 years ago
5 0

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

<h3>How to solve the distance using the angle of depression?</h3>

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

#SPJ1

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