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A vertical pole of 70 feet is supported by three 490-foot wires anchored to equally spaced points on the ground. What is the distance between any two anchor points along the circumference?
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Solution: Step 1: Use the Pythagorean theorem to find the radius (r) formed by the distance between the pole and a wire anchor point: 70^2 + r^2 = 490^2 Step 2: Calculate: 4900 + r^2 = 240100 Step 3: Solve for r^2: r^2 = 240100 - 4900 = 235200 Step 4: Find r: r = sqrt(235200) = 484.97 feet Step 5: Calculate the circumference: C = 2 * π * 484.97 = 3048.41 feet Step 6: Find the distance between two anchors: Distance = 3048.41 / 3 = 1016.14 feet
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