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 ft#.

This is a proportion question.

#81/231=x/11#

You cross multiple and get:

#891=231x#

Divide by 231:

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

#x=3.86#