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in Olympiad by (71.4k points)

A boat is a sailing on a river, parallel to a rectangular signboard propped up on the bank of the rive. A search lamp on a flagpole on the top of the boat illuminates the signboard. The height of the lamp on the boat is such that complete shadow of the signboard is cast on the ground. As the boat moves, a sailor in the observation cabin of the boat starts seeing the clear shadow when the boat is at distance of about 100 m from the signboard. The boat passes the signboard at a closest distance of 60 m. What will be the ratio of the minimum area of the shadow to that of the maximum area of the shadow as the boat passes by ? Explain your answer using very clear diagram/s.

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Ratio of both shadow = 100/60 = 5/3

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