The angle of elevation of an aeroplane from
a point P on the ground is 60°. After 12
seconds, the angle of elevation changes to 30°.
If the plane is flying horizontally at a speed
of 600/3 km/h, find the height at which it is
flying
Answers
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HERE IS YOUR ANSWER
Let A be the position of the plane, and it moves towards C. Let BP=x. Time taken by plane to reach C is 12s=
60×60
12
hr
Distance=Speed×Time
AC=600
3
×
60×60
12
=2
3
km
In △ABP,
BP
AB
=tan60
∘
⟹
x
AB
=
3
x=
3
AB
From figure, BD=AC=2
3
km
PD=PB+BD=
3
AB
+2
3
=
3
AB+6
km
In △CDP,
PD
CD
=tan30
∘
3
AB+6
AB
=
3
1
3AB=AB+6
AB=3 km. This is the height of the plane.
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how did you convert 600√3km/hr to m/s
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