An 85-foot rope from the top of a tree house to the ground forms a 45 degree angle of elevation from the ground. how high is the top of the tree house in feet?

Step-by-step explanation:

Right Triangles

They have a right angle (90°) and a longer side called the hypotenuse opposite to the right angle. The legs and the hyponetuse form two angles that must sum 90°, and they comply:

Where opp-leg is the opposite leg to

The rope from the top of a tree house is 85-foot long. It's the hypotenuse (L) of the triangle it forms with the ground and the tree. The angle of 45° is opposite to the height of the tree (h).

We can solve for h

5x+2x=49

7x=49

x=7. 35 apples