What is the longest stick that can be placed inside a box with inside dimensions of 24 inches, 30 inches, and 18 inches
+23251 The Pythagorean Theorem for two dimensions is: c2 = a2 + b2.
There is a three-dimensional Pythagorean Theorem: d2 = a2 + b2 + c2.
Let a = 24, b = 30, and c + 18 --- and finish ...
A 25 foot ladder is placed against a building. The bottom of the ladder is 7 feet from the building. If the top of the ladder slips down 4 feet, how many feet will the bottom slide out?
+129840 A 25 foot ladder is placed against a building. The bottom of the ladder is 7 feet from the building. If the top of the ladder slips down 4 feet, how many feet will the bottom slide out?
In the first instance, the ladder's height up the wall =
√ [25^2 − 7^2] = √ [625 − 49] = √ 576 = 24 ft
If it slips down 4 ft....the bottom will be
√ [25^2 − 20^2] = √ [625 − 400] = √ 225 = 15 ft from the wall
So....he bottom slides out 15 − 7 = 8 ft
