The angle of elevation of an aeroplane from a point on the ground is 60degree. after a flight of 15 seconds the angle of elevation changes to 30 degree. if the aeroplane is flying at a constant height of 1500 root 3 metre find the speed of the plant is this kilometre per hour
Answers
Answered by
1
Answer: Step-by-step explanation:
Attachments:
Answered by
4
Step-by-step explanation:
Height of aeroplane =BD=CE=1500
3m and
∠BAE=60°
and CAE=30°
In triangle ADB
tan60° = AD
1500
3
⇒
3 = AD
1500
3
⇒AD=1500 m
In triangle CAE
tan30° = 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
Similar questions