You are a zookeeper and are setting up the new habitat for a family of squirrel monkeys. You want them to be able to climb from the bottom corner of their enclosure to the top corner easily so you decide to install a rope across the enclosure, diagonally. If the enclosure has a length of 14 feet, a width of 12 feet, and a height of 10 feet., what is the length of rope you will need?..
To calculate the length of the rope needed to go from the bottom corner to the top corner diagonally across the enclosure, we can use the Pythagorean theorem.
The diagonal of the enclosure forms a right triangle with the length, width, and height of the enclosure as its sides. The length of the rope is the hypotenuse of this right triangle.
Using the Pythagorean theorem, we can calculate the length of the rope:
a^2 + b^2 = c^2
Where a = length, b = width, and c = height.
Plugging in the values:
14^2 + 12^2 = c^2
196 + 144 = c^2
340 = c^2
c = √340
c ≈ 18.44 feet
Therefore, the length of rope needed to go from the bottom corner to the top corner diagonally across the enclosure is approximately 18.44 feet.