Four ropes

Four ropes anchor the TV transmitter at a height of 44 meters. Each rope is attached 55 meters from the heel of the TV transmitter. Calculate the number of meters of rope used to construct the transmitter. When 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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