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

10 m

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12.5 m

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17.5

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21.25 m

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Solution

The correct option is C 12.5 m
Let the height of the building x metres.
Less lengthy shadow, Less in the height (Direct Proportion)
$∴ 40.25 : 28.75 :: 17.5 : x \Leftrightarrow 40.25 \times x = 28.75 \times 17.5$
$x = \frac{28.75 \times 17.5}{40.25}$
$\Rightarrow x = 12.5$

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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

The correct option is C 12.5 mLet 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=28.75×17.5x=28.75×17.540.25⇒x=12.5

The correct option is C 12.5 m
Let the height of the building x metres.
Less lengthy shadow, Less in the height (Direct Proportion)
$∴ 40.25 : 28.75 :: 17.5 : x \Leftrightarrow 40.25 \times x = 28.75 \times 17.5$
$x = \frac{28.75 \times 17.5}{40.25}$
$\Rightarrow x = 12.5$