The mast

A 40 m high mast is secured in half by eight ropes of 25 m long. The ends of the ropes are equidistant from each other. Calculate this distance.

Correct result:

x =  11.4805 m

Solution:

l=40 m l2=l/2=40/2=20 m r=252l22=252202=15 m n=8 A=360/n/2=360/8/2=452=22.5 sinA=(x/2)/r x=2 r sin(A rad)=2 r sin(A π180 )=2 15 sin(22.5 3.1415926180 )=11.481=11.4805 m



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