Question

A fire truck parks 25 feet away from a building. The fire truck extends its ladder 65 feet. How far up the building from the truck's roof does the extension ladder reach?

Answer 1

60 ft

Explanation:

An image based on the information provided can be seen in the picture that is attached below. We can calculate the height (b) by using the pythagorean theorem, which is
`a^(2) +b^(2) = c^(2)` and solving for one of the sides.

`25^(2) + b^(2) = 65^(2)`

625 +
`b^(2)` = 4225 ..... subtract 625 from both sides

`b^(2)` = 3600 ..... square root both sides

b = 60 ft

Finally, we can see that the ladder reaches a total of 60 ft. up the wall.