Question

A carpenter must pick up a wooden beam from the Home Depot. The wooden beam is 12 feet long. The bed of his truck is 5.5 ft by 8 ft by 2 ft. If he puts the beam in the bed diagonally, how much will the beam stick out the back of the truck

Answer 1

Answer:

Beam stick out = 2.09 ft

Step-by-step explanation:

Given:

Length of wooden beam = 12 ft

Side of bed =  5.5 ft by 8 ft by 2 ft

Find:

Length of wooden beam needed.

Computation:

$Length\ of \ diagonal = \sqrt{a^2+ b^+ c^} \\\\\\ Length\ of\ diagonal = \sqrt{5.5^2+ 8^2+ 2^2}\\\\ Length\ of\ diagonal = \sqrt{30.25+64+4}\\\\Length\ of\ diagonal = \sqrt{98.25}\\\\Length\ of\ diagonal = \sqrt{30.25+64+4}\\\\Length\ of\ diagonal = 9.91$

Length of wooden beam needed = 9.91 ft

Beam stick out = 12 ft - 9.91 ft

Beam stick out = 2.09 ft