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?

Question

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?

Answer 1

To calculate the length of rope needed, we first need to find the diagonal distance across the floor of the enclosure, which can be done using the Pythagorean theorem.

The diagonal distance across the floor can be calculated as follows:
Diagonal distance = √(length^2 + width^2)
= √(14^2 + 12^2)
= √(196 + 144)
= √340
≈ 18.44 feet

Now, we need to add the height of the enclosure to this diagonal distance to account for the vertical climb the squirrel monkeys will make. Therefore, the total length of rope needed will be:
Total length of rope = diagonal distance + height
= 18.44 + 10
= 28.44 feet

So, you will need a length of rope approximately 28.44 feet long to install diagonally across the squirrel monkey enclosure for them to climb easily from the bottom corner to the top corner.