A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If the rope is 8 feet long, about how far will the stake need to be from the middle of her tent?

Answer 1

To find the distance the stake needs to be from the middle of the tent, we can use the Pythagorean theorem.

Let the distance from the stake to the middle of the tent be x.

Using the Pythagorean theorem, we have:

x^2 + 4^2 = 8^2
x^2 + 16 = 64
x^2 = 48
x = sqrt(48)
x = 6.9282 feet

Therefore, the stake needs to be approximately 6.93 feet from the middle of the tent.