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A vertical pole is supported by three wires. Each wire is13 yards long and is anchored

Chapter 1, Problem 37

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QUESTION:

A vertical pole is supported by three wires. Each wire is13 yards long and is anchored in the ground 5 yards fromthe base of the pole. How far up the pole will the wires beattached?

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QUESTION:

A vertical pole is supported by three wires. Each wire is13 yards long and is anchored in the ground 5 yards fromthe base of the pole. How far up the pole will the wires beattached?

ANSWER:

Step 1 of 2

The pole, the wire, and the floor form a right triangle.

If we know the values of two sides of the triangle, we can easily calculate the length of the third side using Pythagorean theorem.

where  is the length of the hypotenuse,  and  are the lengths of the sides. We know the length of the hypotenuse (length of wire) and one side of the triangle which is .

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