Question

a steel pipe is being carried down a hallway 9 ft wide. at the end of the hall there is a right-angled turn into a narrower hallway 6 ft wide. what is the length of the longest pipe that can be carried horizontally around the corner?

Answer 1

To find the length of the longest pipe that can be carried horizontally around the corner, we need to consider the width of the hallway and the turn. The length of the longest pipe is approximately 10.82 ft.

Step-by-step explanation:

To find the length of the longest pipe that can be carried horizontally around the corner, we need to consider the width of the hallway and the turn. Let's assume the pipe is carried horizontally around the corner without any tilting or lifting.

Since the width of the hallway is 9 ft and the turn into the narrower hallway is right-angled, the longest pipe that can be carried horizontally around the corner is equal to the diagonal of a rectangle with sides 9 ft and 6 ft.

Using the Pythagorean theorem, we can find the length of the diagonal: d^2 = 9^2 + 6^2 = 81 + 36 = 117. Taking the square root of 117, we find that the length of the longest pipe that can be carried horizontally around the corner is approximately 10.82 ft.