the angle of elevation of a plane from a point on the ground is 45 degree...after 15 seconds of flight the angle of elevation changes to 30 degree ...if the aeroplane is flying at a constant height of 3000 m find the speed of the plane please give the answer in m/s..... thanks in advance....
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Step-by-step explanation:
From right angled △ABC,
tan 30˚ = AC/BC
⇒ 1/√3 = 90m/BC
⇒ BC = [90 × √3] m
∴ BC = 155.88 m
Again from right angled △ACD,
tan 45˚ = AC/CD
⇒ 1 = 90 m/CD
⇒ CD = 90 m
Hence, the distance between the two ships = BC + CD = (155.88 + 90) m
= 245.88 m
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