Answer:

Step-by-step explanation:

This is one of the applications of the Pythagorean Theorem. The Pythagorean Theorem was formulated by Pythagoras, a well-known mathematician during ancient history.

The Pythagorean Theorem states that the square of the longest leg of the right triangle is equal to the sum of the squares of the shorter legs or simply  where  is the longest leg, and  and  are the shorter legs.

Steps in Solving the Problem

Understand the situation

Draw an illustration that represents the problem

Use a mathematical model or concept to solve the unknown

Solve the unknown

Make Conclusions

We know that the length of the pole is 9 meters. One end of the wire is attached at the top of the pole and the other end is attached to the ground which is 2 meters away from the base of the pole.

Please check the illustration below.

As you can see, we are able to form a right triangle. Since we are asked to solve for the length of the wire, we can make use of the Pythagorean Theorem. The value of  is 2 and the value of  is 9. Substitute the values of a and b into the Pythagorean Theorem to solve for  which is the length of the wire.

                 This means to say that the wire is approximately 9.22 meters.

To answer letter (b), imagine if you stretch the wire farther/nearer the base of the pole. If the wire is farther from the base, the wire will be extended or loosen up and if the wire is nearer the base, the wire will be cut shorter.

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