Question

A vertical pole of 5.6 m height casts a shadow 3.2 may long. At the same time find the length of the shadow cast by another pole 10.5m high the height of a pole which casts a shadow 5m long

Answer 1

Hey mate !!

Here's your answer !!

Refer to the attachment !!

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Answer 2

Answer: 1)  Length of the shadow is 6 m.

2) Height of the pole is 8.75 m.

Step-by-step explanation:

Since we have given that

Height of the pole = 5.6 m

Length of shadow cast by this pole = 3.2 m

Similarly, if the height of the pole = 10.5 m

So, we need to find the length of the shadow cast by this pole which is given by

$\frac{5.6}{3.2}=\frac{10.5}{x}\\\\x=\frac{10.5\times 3.2}{5.6}\\\\x=6\ m$

Hence, length of the shadow is 6 m.

Similarly, if the length of shadow = 5 m long

Then, we need to find the height of the pole :

$\frac{5.6}{3.2}=\frac{y}{5}\\\\y=\frac{5.6\times 5}{3.2}\\\\y=8.75\ m$

Hence, height of the pole is 8.75 m.