Mast rope anchoring

The mast is 190 m high and is attached to six ropes which are anchored in the ground at a distance of 20 m from the base of the mast. How many meters of rope were needed?

Final Answer:

x =  1146.3 m

Step-by-step explanation:

$$\begin{gathered} n=6 \\ a=190\text{m} \\ b=20\text{m} \\ {c}^2=a^2+b^2 \\ c=\sqrt{a^2+b^2}=\sqrt{190^2+20^2}=10\sqrt{365}\text{m}\doteq 191.0497\text{m} \\ x=n\cdot c=6\cdot 191.0497=60\sqrt{365}=1146.3\text{m} \end{gathered}$$

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