Question

Andy is 5 feet tall. He casts a shadow of that is 9 feet long at the same time that a light post casts a shadow that is 35 feet long. What is the height of the light post? Sfeel 9 Teet 35 feet 1.3 ft 63 ft 19.4 ft 48 ft

Answer 1

First, we are going to draw a picture for the problem

We can formulate the following equation, given that we can use triangle similarity theorem.

`\frac{\text{Andy height}}{x\text{ (post height)}}=\frac{\text{shadow of Andy}}{\text{Shadow of the post}}`

Replacing the values we have

`\begin{gathered} (5)/(x)\text{ = }(9)/(35) \\ 5\cdot(35)/(9)=x \\ 19.4\text{ = x} \end{gathered}`

Isolating x, we get x is equal to 19.4 ft, which is the height of the post.