The top of a ladder rest at a height of 15 feet against the side of a house. If the base of a ladder is 6 ft from the house what is the length of the ladder? round to the nearest foot.

Respuesta :

Answer:

16 feet

Step-by-step explanation:

We use Pythagorean Theorem to find the height.

leg of triangle=  height of ladder = 15 feet

The hypotenuse of the formed triangle  = length of ladder = L

base = 6 feet

What is length of ladder?

L^2 = 15^2 + 6^2 = 225 + 36 = 261

L = root(261)  = 16.155 feet