Question 4.25 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 10.0 s apart is 30°, what is the speed of the aircraft?
Chapter Motion In A Plane Page 87
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Let is the initial position of and B is the final position of aircraft.
See the figure ,
Here, ∆AOB,
AB shows distance travelled by aircraft .
AB = AO.tan30°
= 3400 × 1/√3
= 1700√3m
Speed of aircraft = 1700√3m/10sec
= 170√3 m/s
Let is the initial position of and B is the final position of aircraft.
See the figure ,
Here, ∆AOB,
AB shows distance travelled by aircraft .
AB = AO.tan30°
= 3400 × 1/√3
= 1700√3m
Speed of aircraft = 1700√3m/10sec
= 170√3 m/s
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42
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