Question

a cable technician working fo the local cable company needs to lay down cable down through the neighborhood below. He is unsure how much cable cable he needs, though. Use the pythagorean theorem to help him find the length in feet of cable he needs to fufill his duty

Answer 1

To use the Pythagorean theorem to find the length of cable the technician needs, we need to know the distance he needs to cover and the height difference between the two points.

Let's say the distance he needs to cover is 1000 feet and there is a height difference of 200 feet between the two points.

Using the Pythagorean theorem, we can find the length of cable he needs:

c² = a² + b²

where c is the length of the cable, a is the distance he needs to cover, and b is the height difference between the two points.

Plugging in the values we have:

c² = 1000² + 200²

c² = 1,040,000

c = √1,040,000

c ≈ 1,020.62

Therefore, the technician needs approximately 1,020.62 feet of cable to fulfill his duty.