SOLUTION: 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

Question 1202261: 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
A of the beam from the ground. When the beam makes an angle of 40o with the ground, the
top of the beam is 8 ft above the ground.
The construction site has some telephone wires crossing it.. The workers are concerned
that the beam may hit the wires. When the beam makes an angle of 60o 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? Explain your answer
Thank you

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
The beam is [ivoted about M
MP will be length of beam
In triangle MPB
sin (40) = 8/MP
MP = 8/sin (40)
12.445 ft
The cables are 2ft above 12.445 - 14.445 ft ( See fig)
The beam will pass below the cables safely

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