Question

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 similar to the triangle formed by Sarah and her shadow. How tall is Sarah?

6 ft

5 ft

4 ft

3 ft

Answer 1

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