peter is trying to get his cat out of a tree in his backyard. The cat is 12feet above the ground, and Peter has to put the base of his ladder 9 feet away from the tree because of mud. How long does the ladder need to be in order to reach the cat.

15 feet

Step-by-step explanation:

Given that,

The cat is 12feet above the ground, and Peter has to put the base of his ladder 9 feet away from the tree because of mud.

If we consider a right-angled triangle, in which the height is 12 feet, base is 9 feet.

We need to find how long does the ladder need to be in order to reach the cat i.e. the hypotenuse of the triangle.

We can use the Pythagoras theorem to find it.

So, the ladder must be at a distance of 15 feet in order to reach the cat.

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: