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An aircraft is flying at a height of 340...

An aircraft is flying at a height of 3400 m above the ground. If the angle subtended at a ground observation point by the aircraft positions 10 s apart is `30^(@)` , what is the speed of the aircraft ?

A

`19.63ms^(-1)`

B

`1963 ms^(-1)`

C

`108ms^(-1)`

D

`196.3 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
D


Speed of aircraft
`v = (AB)/(t) = (3400 tan 30^@)/(10)`
` = (3400)/(10 sqrt3) = 196.3m//s`
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