Question

Two window washers, Grayson and Malik, lean a ladder against the side of a building so that Grayson can wash a window while Malik holds the ladder. The top of the ladder reaches the window, which is 8 meters off the ground. The base of the ladder is 3 meters away from the building. How long is the ladder?

Answer 1

≈8.544

Explanation:

The Pythagorean theorem says that
`a^(2) + b^(2) = c^(2)`, where c is the ladder. Replacing the variables for numbers gives you
`3^2 + 8^2 = c^2.` Simplifying the right side gives you 9+64, or 73. Because
`c^2\\`=73, the answer is
`√(73)`, or ≈8.544. Hope this helps!

Answer 2

8.5m

Explanation:

The ladder forms a right triangle with legs of 8 and 3, and the ladder is the hypotenuse. Using the Pythagorean Theorem, we get that the ladder is about 8.5 meters long. Hope this helps!