The angle of elevation of an aeroplane from a point on the ground is 45 deg. after a flight of 15 seconds, the elevation changes to 30 deg, if the aeroplane is flying at a height of 3000 m find its speed
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Given :
The angle of elevation of an aeroplane from a point on the ground is 45 deg. after a flight of 15 seconds, the elevation changes to 30 deg,
To Find:
if the aeroplane is flying at a height of 3000 m find its speed
Solution:
Refer the attached figure
Height of Aeroplane = AB = 3000 m
The angle of elevation of an aeroplane from a point on the ground is 45 deg. i.e.∠ACB = 45°
So,
Let CD be x
So, BD = 3000+x
After a flight of 15 seconds, the elevation changes to 30 deg.
∠ADB=30°
Hence its speed is 146.41 m/s
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