The angle of elevation of an aeroplane from a point A on the ground is 60° After a flight of 30 seconds, the angle of elevation
changes to 300. If the aeroplane is flying at a constant height of 3600V3 metres then find the speed of the aeroplane.
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Answer:
speed = 240m/s.
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In triangle ABC,
tan60=BC/AB=3600*3(1/2)
AB=BC/tan60=3600*3^(1/2)/3^(1/2)
AB=3600
In triangle ADE,
tan30= DE/AD
AD=DE/tan30=3600*3^(1/2)/(1/3^(1/2))
AD=3600*3
AD=10800
=>The distance travelled by the jet plane=AD-AB=10800-3600=7200
So, the speed of the jet plane=7200/30=240
Therefore, the speed of the jet plane is 240 m/s.
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