Determine the Jenny height and shadow height in terms of feet.
[tex]\begin{gathered} 5\text{ ft 8 in=5 ft +}\frac{8}{12}\text{ ft} \\ =\frac{17}{3}\text{ ft} \end{gathered}[/tex]
For shadow:
[tex]\begin{gathered} 7\text{ ft 9 in =7 ft + }\frac{9}{12}\text{ ft} \\ =\frac{31}{4}\text{ ft} \end{gathered}[/tex]
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.
[tex]\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}[/tex]
Thus height of pole is 11 1/3 ft.
Answer:
[tex]11\frac{1}{3}[/tex]
