Your kids have asked you to set up a cable fromtheir tree house to the ground

Question

so that they can slide down quickly when it’s time to head in for lunch. The
tree house is 12 feet from the ground. You determine that in order to get a
gentle enough slope from the tree house to the ground, you need to anchor
the cable at least 35 feet from the base of the tree. How much cable will you
need to cover the distance from the tree house to the anchor point?

Answer 1

37 feet

A^2+b^2=c^2
12^ 2+35^2=c^2
144+1225=c^2
1369=c^2
Square root 1369 and c^2
C=37