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A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be

A.	10 m	B.	12.5 m
C.	17.5 m	D.	21.25 m

Answer and Explanation

Answer:17.5 m

Explanation:
Let the height of the building be x metres.
Less lengthy shadow, less is the height (Direct proportion)

Hence, 40.25 : 28.75 :: 17.5 : x
           40.25 * x = 28.75 * 17.5

           x = (28.75 * 17.5)/ 40.25
           x = 12.5

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