The angle of elevation of a jet plane

Asked by admin @ 25/08/2021 in Math viewed by 353 People

The angle of elevation of a jet plane from a point A on the ground is 60 degrees after a flight of 30 seconds,the angle of elevation changes to 30 degrees.if the jet plane is flying at a constant height of 3600 root 3 meter find the speed of a jet plane.

Answered by admin @ 25/08/2021

Please see the attached file

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 traveled 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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