Position 19113

The column is fixed in a vertical position by 3 ropes, which are caught at the height of 3 m above the ground. The other ends of the ropes are anchored to the ground at a distance of 4 m from the base of the column. How much rope was used to secure the pole?

Correct answer:

x =  15 m

Step-by-step explanation:

$$\begin{gathered} h=3\text{m} \\ n=3 \\ a=4\text{m} \\ {c}^2=a^2+h^2 \\ c=\sqrt{a^2+h^2}=\sqrt{4^2+3^2}=5\text{m} \\ x=n\cdot c=3\cdot 5=15\text{m} \end{gathered}$$

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