A person X standing on the ground observes a bird flying at a distance of 200m
from him at an angle of elevation of 30°. At the same moment, another person Y
standing on the roof of a building of height 50m, finds the angle of elevation of the
same bird to be 45°. If both are standing opposite to each other on either side of the
bird, find the distance of the bird from Y. Also find the distance at which X is
standing from the building
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Answer:
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Step-by-step explanation:
Correct option is
A
30
2
m
R.E.F image
For ΔXBA,
sin30
∘
=
XB
BA
as sinθ=
hyp
OPP
2
1
=
100
BA
2
100
=BA
50m=BA
For ΔBYD,
sin45
∘
=
BY
BD
2
1
=
BY
BA−AD
2
1
=
BY
BA−YC
[as AD=YC]
2
1
=
a
50−20
a=30
2
m
∴ The distance of the bird from
Y is 30
2
m
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