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:

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:

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

10 m
12.5 m
17.5 m
21.25 m

Correct 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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