Let the height be h
According to the Pythagoras Theorem,
h= root 15^2-5^2
= root 225-25
= root 200= 14.14
Thus, the ladder reaches approximately 14.14 feet from the base of the house
32x+64 = 160
32x = 96
x = 3
So 3 2/3 is about 3.67 so it would go in between 3.65 and 3.7. So it would be the second answer.