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A vertical pole of height 5.60 m casts a shadow of length 3.20 m on the horizontal earth surface. Under the similar conditions and at the same time,find

the length of the shadow cast by another vertical pole of height 10.5m



Let the elevation angle be Ф
Let the length of shadow be x m
we have tanФ= 5.6/ 3.2= 10.5/x
                     ⇒ x= 6
Length of shadow is 6m
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Since the angle of elevation of sun is same in both the cases and both the poles are vertical.
The height and shadow length of poles are proportional.
Then, \frac{x}{3.2}=\frac{10.5}{5.6}
Hence, shadow length, x=6 m
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