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Question -

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? Time taken by aircraft from A to B is 10 s.



Answer -

The positions of the observer and the aircraft are shown in the given figure.

Height of the aircraft from ground, OR = 3400 m
Angle subtended between the positions, тИаPOQ = 30┬░
Time = 10 s
In ╬ФPRO:
╬ФPRO is similar to ╬ФRQO.
тИ┤PR = RQ
PQ = PR + RQ
= 2PR = 2 ├Ч 3400 tan 15┬░
= 6800 ├Ч 0.268 = 1822.4 m
тИ┤Speed of the aircraft┬а

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