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Question

A building 15 m high casts a shadow 1.8 m long. What will be height of that pole whose shadow at that time in 60 cm?

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Solution

Given that,
A 15 m high building casts a 1.8 m long shadow.
Shadow of a pole at the same time is 60 cm.
To find out,
The height of the pole.

Let the height of the pole be h.
In both the cases, the angle of elevation of Sun will be the same.
Let the angle be θ.

Hence, tanθ=Height of the buildingLength of its shadow=Height of the PoleLength of its shadow

The length of the shadow is 60 cm.
We know that 100 cm=1 m
60 cm=0.6 m

Hence, h0.6=151.8

h=15×0.61.8

h=91.8

h=5 m

Hence, the height of the pole is 5 m.

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