Question

At a certain time in the afternoon a light pole casts a shadow that us 11 ft 9 in long. At the same time, a woman of height 4 ft 6 in casts a shadow that is 18 inches long. How tall is the light pole?​

Answer 1

We have similar triangles so

$\dfrac{4'6"}{18"} = \dfrac{x}{11'9"}$

$x= \dfrac{ (12(11)+9 )(12(4)+6) }{18 } = 423 \textrm{ inches}$

Answer: 35' 3"