Question

Jenny is 5 feet 8 Inches tall. To find the height h of a light pole, she measured her shadow and the pole's shadow. What is the height of the pole? Give the height as a mixed number (a whole number and a fraction). 5 ft 8 in. 15 S ft 7 ft 9 in. The height of the pole is

Answer 1

Determine the Jenny height and shadow height in terms of feet.

$\begin{gathered} 5\text{ ft 8 in=5 ft +}\frac{8}{12}\text{ ft} \\ =\frac{17}{3}\text{ ft} \end{gathered}$

For shadow:

$\begin{gathered} 7\text{ ft 9 in =7 ft + }\frac{9}{12}\text{ ft} \\ =\frac{31}{4}\text{ ft} \end{gathered}$

The ratio of height of Jenny to the shadow is equal to the ratio of height of polr to its shadow.

Determine the pole height.

$\begin{gathered} \frac{h}{15.5}=\frac{\frac{17}{3}}{\frac{31}{4}} \\ \frac{2h}{31}=\frac{68}{93} \\ h=\frac{34}{3} \\ =11\frac{1}{3} \end{gathered}$

Thus height of pole is 11 1/3 ft.

Answer:

$11\frac{1}{3}$