Question

An old oak tree grows next to a maple tree. The oak tree is 74 feet tall and casts a 40-foot shadow on the ground. The maple tree is 46 feet tall. What is the length of the maple tree's shadow? Round the answer to the nearest foot

Answer 1

Answer: 25 feet.

Explanation:

Based on the figure attached, you can set up the following proportion, when x is the length of the maple tree's shadow:

`(74)/(40)=(46)/(x)`

Now, you must solve for x as following:

`74x=46*40\\74x=1840\\x=(1840)/(74)\\x=24.86ft`

Rounding the result to the nearest foot, you obtain:

`x`≈
`25ft`