Four ropes

TV transmitter is anchored at a height of 44 meters by four ropes. Each rope is attached at a distance of 55 meters from the heel of the TV transmitter. Calculate how many meters of rope were used in the construction of the transmitter. At each attachment is needed add extra 0.5 meter cable.

Correct result:

x =  285.7375 m

Solution:

$x=4\cdot (\sqrt{44^2+55^2}+2\cdot 0.5)=285.7375\text{ m}$

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