Question

How long is a wire reaching from the top of a 12-foot pole

to a point 6 feet from the base of the pole?


a. 3√2 feet

b. 6 √5feet

c. 6√3 feet

d. 6 feet

Answer 1

Answer: b

Explanation:

Use Pythagorean Theorem to find the hypotenuse:

a² + b² = c²

6² + 12² = c²

36 + 144 = c²

180 = c²

√180 = c

√2 * 2 * 3 * 3 * 5 = c

3 * 2 √5 = c

6√5 = c