The angle of elevation of a bird from a point on the ground is 60°, after 50 seconds flight the
angle of elevation changes to 30°. If the bird is flying at the height of 500f3 m, find the
speed of the bird.
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Answer:
Let the height of first plane be AB=4000m and the height of second plane be BC=xm
∠BDC=45
∘
and ∠ADB=60
∘
In △CBD
(i)
y
x
=tan45
∘
=1
⇒x=y
In △ABD,
y
4000
=tan60
∘
=
3
⇒x=y=
3
4000
3
=2306.67m
∴ the vertical distance between two=4000−y=4000−2306.67=1693.33m
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