Four ropes

The TV transmitter is anchored at the 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 to construct the transmitter. At each attachment is needed, add an extra 1/2-meter cable.

Correct answer:

x =  285.7375 m

Step-by-step explanation:

$$\begin{gathered} a=44\text{m} \\ b=55\text{m} \\ c=1/2=\frac{1}{2}=0.5\text{m} \\ d=\sqrt{a^2+b^2}=\sqrt{44^2+55^2}=11\sqrt{41}\text{m}\doteq 70.4344\text{m} \\ x=4\cdot (d+2\cdot c)=4\cdot (70.4344+2\cdot 0.5)=285.7375\text{m} \end{gathered}$$

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