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1. 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

Solution:

Let the height of the building x metres.
Less lengthy shadow, Less in the height (Direct Proportion)

\begin{aligned} ∴ 40.25 : 28.75 :: 17.5 : x \\ \Rightarrow 40.25 \times x = 28.75 \times 17.5 \\ \Rightarrow x = \frac{28.75 \times 17.5}{40.25} \\ \Rightarrow x = 12.5 \end{aligned}

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