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an aircraft is flying at height of 3400m above the ground.if the angle subtended at a ground observation point by the aircraft positions 10s apart is 30degree. what is the speed of the aircraft?
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an aircraft is flying at height of 3400m above the ground.if the angle subtended at a ground observation point by the aircraft positions 10s apart is 30degree. what is the speed of the aircraft?

User Blake Mills
by
5.2k points

1 Answer

7 votes

Answer: 588.9 m/s

Step-by-step explanation:

Given that :

θ = 30°

Height, h = 3400m

Time, t = 10 seconds

From trigonometry ;

Tanθ = opposite / hypotenus

Tan 30 = 3400 / x

x tan 30 = 3400

0.5773502x = 3400

x = 3400 / 0.5773502

x = 5888.9727

Recall ;

Speed = Distance / time

Speed = 5888.9727 / 10

Speed = 588.897 m/s

Speed = 588.9 m/s

User Tea Curran
by
4.9k points
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