A girl 1.2 m tall casts a shadow 1.1 m at that height. When a building casts a shadow 6.6 m long. Determine the height of the building.

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7.2 m

7 m

6.8 m

7.4 m

answer is A.

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Detailed Solution

Given that a girl 1.2 m tall casts a shadow 1.1 m at that height and a building casts a shadow 6.6 m long.
We need to find the height of the building.
Assume that height of the building is y m when it cast shadow 6.6 m long.
Equating the ratio,

\frac{y}{6.6} = \frac{1.2}{1.1}

y = \frac{1.2 \times 6.6}{1.1}

y = 1.2 \times 6

y = 7.2

Height of building is 7.2 m.
Hence, the correct option is 1.

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