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Bad White [126]
3 years ago
8

A building 64 ft high casts a 288-ft shadow. Sarah casts a 18-ft shadow. The triangle formed by the building and its shadow is s

imilar to the triangle formed by Sarah and her shadow. How tall is Sarah?
6 ft

5 ft

4 ft

3 ft
Mathematics
1 answer:
Anastaziya [24]3 years ago
5 0

Answer:

The answer to your question is 4 ft

Step-by-step explanation:

Data

Building's shadow = 288 ft

Building's high = 64 ft

Sarah's shadow = 18 ft

Sarah's height = ?

Process

1.- Use proportions to solve this problem

                               \frac{Sarah's height}{Sarah's shadow} = \frac{building's height's}{building's shadow}

2.- Solve for Sarah's height

  Sarah's height = \frac{Sarah's shadow x building's height}{building shadow}

3.- Substitution

  Sarah's height = \frac{18 x 64}{288}

4.- Simplification

  Sarah's height = \frac{1152}{288}

5.- Result

  Sarah's height = 4 ft

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Answer:

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Step-by-step explanation:

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====================================================

Explanation:

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