A camper attaches a rope from the top of her tent 4 feet above the ground to give it more support if she steaks to rope to the ground 6 feet from the middle of her tent about how long is the rope from the ground to her tent
To find the length of the rope from the ground to the tent, we can use the Pythagorean theorem.
First, let's draw a diagram to visualize the situation:
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In this diagram, the tent is represented by a vertical line, and the rope is represented by a diagonal line. We also know that the rope is attached 4 feet above the ground and is staked 6 feet away from the middle of the tent.
Using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides, we can set up the equation:
(Length of the rope)^2 = (Distance from the middle of the tent)^2 + (Height of the tent)^2
Let's substitute the given values into the equation:
(Length of the rope)^2 = 6^2 + 4^2
(Length of the rope)^2 = 36 + 16
(Length of the rope)^2 = 52
To find the length of the rope, we need to take the square root of both sides of the equation:
Length of the rope = √52
Length of the rope ≈ 7.21 feet
Therefore, the length of the rope from the ground to the tent is approximately 7.21 feet.
assuming that the top of her tent is directly over the center, then the length z can be found using
z^2 = 4^2 + 6^2
draw a side view to see this.
and that's stake, not "steak."