Explain how to find the speed of an aeroplane in km/hr in the following situation:
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 30°. If a plane is flying at a constant height of 2700√3 metres, find the speed of the aeroplane .
Answer in Km/hr
Class 10
Answers
Answer:
Height of aeroplane =BD=CE=1500
3
m and
∠BAE=60
0
and CAE=30
0
In triangle ADB
tan60
0
=
AD
1500
3
⇒
3
=
AD
1500
3
⇒AD=1500 m
In triangle CAE
tan30
0
=
AE
1500
3
⇒
3
1
=
AD
1500
3
⇒AE=1500×3=4500 m
Distance covered by plane in 15 seconds: BC=DE=AE−AD=4500−1500=3000 m
Speed of aeroplane =
15
3000
=200 m/s=720 km/hr
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The angle of elevation of an aeroplane from a point on the ground is 60
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Answer:
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