One morning, the length of the shadow of a temple pillar of height 28 m is 42 m. What will be the height of the temple whose shadow has the length 54 m at the same time of the day?
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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°
do u remmeber me
BHAVESH
Answered by
3
Length of pole is XY=15 m
Shadow of pole is =YZ=53
angle of elevation of sun with ground is ϕ as shown in figure.
Here in a right angled triangle,
tan(90∘−ϕ)=XYYZ=1553=31⇒tan(90∘−ϕ)=31⇒90∘−ϕ=60∘⇒ϕ=30∘
Elevation is 30∘
hope it helps you miss
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