A building 84 ft high casts a 231-ft shadow. Sarah casts an 11-ft shadow. The triangle formed by the building and its shadow is similar to the triangle formed by Sarah and her shadow. How tall is Sarah?

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Answer 1 · 2017-06-11T03:01:37

Sarah is $3.86 f t$ $3.86 ft$ .

This is a proportion question.

$\frac{81}{231} = \frac{x}{11}$ $81/231=x/11$

You cross multiple and get:

$891 = 231 x$ $891=231x$

Divide by 231:

$891/231=cancel(231x)/cancel231$

$x=3.86$