Question

A tree casts a shadow 24 feet long. At the same time, a vertical rod 24 feet high casts a shadow 16 feet long. How tallis the tree?

Answer 1

Let the height of the tree be 'h'

We can say:

h casts a shadow of 24

24 casts a shadow of 16

We can put it into a ratio:

`(h)/(24)=(24)/(16)`

Now, after cross multiplying, we can easily figure out the value of the variable "h", the height of the tree. Steps are shown:

`\begin{gathered} (h)/(24)=(24)/(16) \\ 16h=24*24 \\ 16h=576 \\ h=(576)/(16) \\ h=36 \end{gathered}`

The tree is 36 feet tall.

Answer:

36 feet