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? 8 feet 10 feet 4.5 feet 7.2 feet

Explanation:

Step1: Identify the triangle type

This is a right triangle with legs \( a = 4 \) feet (height) and \( b = 6 \) feet (base).

Step2: Apply Pythagorean theorem

The Pythagorean theorem is \( c = \sqrt{a^2 + b^2} \), where \( c \) is the hypotenuse (length of the rope). Substitute \( a = 4 \) and \( b = 6 \):
\( c = \sqrt{4^2 + 6^2} = \sqrt{16 + 36} = \sqrt{52} \approx 7.2 \) feet.

Answer:

7.2 feet