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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

User Freddygv
by
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1 Answer

5 votes

Answer:

Beam stick out = 2.09 ft

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 = √(a^2+ b^+ c^) \\\\\\ Length\ of\ diagonal = √(5.5^2+ 8^2+ 2^2)\\\\ Length\ of\ diagonal = √(30.25+64+4)\\\\Length\ of\ diagonal = √(98.25)\\\\Length\ of\ diagonal = √(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

User John Clarke Mills
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