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13 November, 18:20

When the beam makes an angle of 40

degrees with the ground, the top of the

beam is 8 feet above the ground

 There are telephone

wires nearby and the

workers are worried that

the beam may hit the

wires Will it?

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Answers (1)
  1. 13 November, 19:19
    0
    A construction crew wants to hoist a heavy

    beam so that it is standing up straight. They

    tie a rope to the beam, secure the base, and

    pull the rope through a pulley to raise one

    end of the beam from the ground. When

    the beam makes an angle of 40 degrees with the

    ground, the top of the beam is 8 ft above

    the ground.

    Th e construction site has some telephone

    wires crossing it. Th e workers are

    concerned that the beam may hit the wires.

    When the beam makes an angle of 60 degrees with

    the ground, the wires are 2 ft above the top

    of the beam. Will the beam clear the wires

    on its way to standing up straight?

    Math - Steve Thursday, April 16, 2015 at 6:22pmwe see that the length of the beam is

    8/sin40 = 12.45 ft

    At 60 degrees, the top is

    12.45sin60 = 10.78 ft high

    So, the wire is 12.78 ft up.

    Since the beam is only 12.45 ft long, it will not touch the wires.
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