The length of the wire is 31.623 feet.
The length of the support wire represents the hypotenuse of the right-angle triangle.
The ground distance between the wire and the pole represents the adjacent side of the right-angle triangle.
The height of the pole represents the opposite side of the right angle triangle.
To determine the height of the pole, h, we would apply Pythagoras theorem
Hypotenuse² = opposite side² + adjacent side²
[tex]\rm x^2 = 10^2 + 30^2\\\\x^2 = 100 + 900\\\\x^2 = 1000\\\\\x = 31.623[/tex]
Hence, the length of the wire is 31.623 feet.
Learn more about triangles here;
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