The length of the shadow of a tower 153 m high is 45 m at a particular time. Find the height of an electric pole whose shadow is 20 m long at the same time
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Answer:
Length of pole is XY=15 m
Shadow of pole is =YZ=5
3
angle of elevation of sun with ground is ϕ as shown in figure.
Here in a right angled triangle,
tan(90
∘
−ϕ)=
XY
YZ
=
15
5
3
=
3
1
⇒tan(90
∘
−ϕ)=
3
1
⇒90
∘
−ϕ=60
∘
⇒ϕ=30
∘
Elevation is 30
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