A vertical pole of 28 m height casts a 19.2 m long shadow. At the same time, find the length of the shadow cast by another pole of 52.5 m height.

Height of the first pole = 28 meters

Length of the shadow of the first pole = 19.2 meters

Height of the second pole = 52.5 meters

Properties of similar triangles. 

The length of the shadow of an object is proportional to its height when the angle of elevation of the sun is the same for both objects. This means the ratio of the height of a pole to its shadow length is constant.

​$$\frac{\text{Height of First Pole}}{\text{Length of First Shadow}} = \frac{\text{Height of Second Pole}}{\text{Length of Second Shadow}}$$ 

As per the question:

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