From the top of a building
50 m high, the angle of
depression ofthe top and the
bottom of a tree are observed
to be 30 and 45° respectively.
Find the height of the tree.
(Take V3 = 1.73)
Answers
Answered by
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Step-by-step explanation:
Let the height of the pole be h and the distance between the pole and tower be x.
It can be observed that,
tan60
∘
=
x
50
3
=
x
50
x=
3
50
And,
tan45
∘
=
x
50−h
1=
x
50−h
50−h=x
50−h=
3
50
h=50−
3
50
h=
3
50(
3
−1)
h=21.1m
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