Question

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.

Answer 1

16 feet

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