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Q: 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:12.5 m

Explanation:
Let the height of the building x metres.
Less lengthy shadow, Less in the height (Direct Proportion)
40.25 : 28.75 :: 17.5 : x
40.25 x x = 28.75 x 17.5
x = 28.75 x 17.5
            40.25
x = 12.5

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