From the roof and foot of a house 20 metre
high it is seen that the angle of depression of
the bottom and the angle of elevation of the
top of a temple on the same horizontal plane
are 30º and 60° respectively. What is the
height of the temple and the distance between
the house and the temple ?
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
Therefore, the height of the pole is 21.1m.
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