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The angle of elevation of a jet plane from point A on the ground is 60°. After a flight of 15 seconds, the angle of elevation changes to 30°. If the jet plane is flying at a constant height of 1500 find the speed of the jet plane.

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200 m/s

400 m/s

100 m/s

500 m/s

answer is A.

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Detailed Solution

Given, the angle of elevation of a jet plane from point A is 60° and after 15 seconds it changes to 30° Question Image

Let B and C be initial and final positions In

ABE,

BAE = 60° Tan (

BAE) = tan 60° Here,

=opposite Adjacent

Now, we will substitute

AE = 1500 m In

Now, we will substitute

AD = 4500 m ED = AD – AE = 4500 – 1500 = 3000 m BC = ED = 3000 m The jet plane travels a distance of 3000m in 15 seconds

speed

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