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Question

A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find the cost of painting a pole that casts a shadow 5 m long. Painting is done at the rate of ₹ 5 per cm.

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Solution

The ratio of the length of the pole to the length of the shadow remains constant.

The length of pole and the length of the shadow are directly proportional

AB= Constant

A1B1 = A2B2

Length of polelength of shadow=560320=n500 (where n is length the second pole)

n = 875 cm

the height of the pole = 875 cm

Cost of painting the pole = 875 x 5 = ₹ 4375


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