Question

A. To wash the first window, Roger extends the

ladder to 20 feet long. He places the base of
the ladder 6 feet from the side of the house.
Sketch a labeled picture of this to the right.
B. How far up the house will the 20-foot ladder
reach, to the nearest tenth of a foot? Show your
work in the space to the right.

Answer 1

Use Pythagorean theorem. Let h represent how far up the house the ladder is

h^2 + 6^2 = 20^2
h^2 + 36 = 400
h^2 = 364
h = 19.1 feet