Perry wants to replace the net on his basketball hoop. the hoop is 10 feet high. perry places his ladder 4 feet from the base of the hoop. how long must his ladder be to reach the hoop? round your answer to the nearest hundredth

For this case we can model the problem as a rectangle triangle.
 We have two sides of the triangle.
 We must find the hypotenuse.
 Using the Pythagorean theorem we have:
 h = root ((10) ^ 2 + (4) ^ 2)
 h = 10.77 feet
 
 his ladder must be 10.77 feet long to reach the hoop

7.666270253x10 raised to the 18th power