An aircraft is flying at height 3600 m from the ground. If the angle s

1.	An aircraft is flying at height 3600 m from the ground. If the angle subtended at the ground observation point by aircraft positions 10 s apart is 30º, what is the speed of the aircraft?(Given Answer= 60*Pi m/s)
Answer» Solution: The aircraft takes 10s to go from one point (say A) to the other (say B) and AB subtends an angle of 30^o at the point of observation (say O) .So, ABO forms a triangle.Now let OC be perpendicular bisector drawn from O to AB(i.e. actually the height). Then in right trianle, OAC AC = OC tan 15^o = 3600 x 0.2679 = 964.44 m so, AB = 2 x 964.44 = 1928.88 m Now, the speed of aircraft , v = AB / t = 1928.88 / 10 = 192.888 m/s.

An aircraft is flying at height 3600 m from the ground. If the angle subtended at the ground observation point by aircraft positions 10 s apart is 30º, what is the speed of the aircraft?(Given Answer= 60*Pi m/s)

Answer»

Solution:

The aircraft takes 10s to go from one point (say A) to the other (say B) and AB subtends an angle of 30^o at the point of observation (say O) .So, ABO forms a triangle.Now let OC be perpendicular bisector drawn from O to AB(i.e. actually the height).

Then in right trianle, OAC

AC = OC tan 15^o = 3600 x 0.2679 = 964.44 m

so, AB = 2 x 964.44 = 1928.88 m

Now, the speed of aircraft , v = AB / t = 1928.88 / 10 = 192.888 m/s.

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An aircraft is flying at height 3600 m from the ground. If the angle subtended at the ground observation point by aircraft positions 10 s apart is 30º, what is the speed of the aircraft?(Given Answer= 60*Pi m/s)

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