Question

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? 12 feet 8.9 feet 4 feet 6.9 feet

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here, \(a = 4\) (height of tent), \(c = 8\) (length of rope), and \(b\) is the distance from tent to stake.

Step2: Solve for \(b\)

$$b=\sqrt{c^{2}-a^{2}}=\sqrt{8^{2}-4^{2}}=\sqrt{64 - 16}=\sqrt{48}\approx6.9$$

Answer:

D. 6.9 feet