A high vertical pole casts a shadow long. At the same time-

(1) The length of the shadow cast by another pole high is m.

(2) The height of a pole which casts a shadow 5m long is m.

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Detailed Solution

Concept- The length of the shadow cast by another pole

high is 6m and the height of a pole which casts a shadow 5m long is 8.75m. Direct linear variation, which denotes that changes in one object eventually directly influence another one, is the important concept to bear in mind anytime we come across a problem statement like this.
The height of the pole and the length of the shadow are proportionate.
We know that

(i) Set x as the length of the shadow cast by a different pole.
Question Image

So,

Another pole's shadow extends 6 m in length.
(ii) Set the pole's height to x.
Question Image

So, 560/320 = x/500
x= 560 x 500/ 320
x = 8.75 m or 8 m 75 cm
Hence, the correct answer is 6m and 8.75m respectively.

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