Question

a camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. if she stakes the rope to the ground 6 feet from the middle of her tent, about how long is the rope from the ground to the tent? 4.5 feet 10 feet 7.2 feet 8 feet

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 4\) (height of tent) and \(b=6\) (distance from tent to stake).

Step2: Substitute values

Substitute \(a = 4\) and \(b = 6\) into the formula: \(c=\sqrt{4^{2}+6^{2}}=\sqrt{16 + 36}=\sqrt{52}\).

Step3: Calculate \(\sqrt{52}\)

\(\sqrt{52}\approx7.2\) (since \(7.2\times7.2 = 51.84\) which is close to \(52\)).

Answer:

7.2 feet