A roofer leaned a 16 foot ladder against a house if the base of the ladder is 5 feet from the house how high up the house does the ladder re Question A roofer leaned a 16 foot ladder against a house if the base of the ladder is 5 feet from the house how high up the house does the ladder reach in progress 0 Math Emery 7 months 2021-10-07T23:57:32+00:00 2021-10-07T23:57:32+00:00 1 Answer 0 views 0

## Answers ( )

Answer:15.2 feet

Step-by-step explanation:We use Pythagorean Theorem to find the height.

The hypotenuse of the formed triangle = length of ladder = 16 feet

base = 5 feet

let h = height of house

16 ^2 = 5^2 + h^2

256 = 25 + h^2

231 = h^2

h = root(231) = 15.1986 feet