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The angle of elevation of an airplane fr...

The angle of elevation of an airplane from a point on the ground is `60^(@)`. After a flight of `30` seconds, the angle of elevation becomes `30^(@)`. If the airplane is flying at a constant height of `3000sqrt(3)`m, find the speed of the airplane.

A

`200m//s`

B

`250m//s`

C

`350m//s`

D

`300m//s`

Text Solution

Verified by Experts

The correct Answer is:
A

Correct Figure
In `DeltaABE,(BE)/(AB) = tan 60^(@)`
`rArr AB = 3000m `
In `Delta DAC,(DC)/(AC) = tan30^(@)`
`rArr Ac = 9000m`
`BC = Ac - AB = 6000m`
`therefore ` Speed of aerophlane `= (6000)/(30) m//s= 200m//s`
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