Answer: 56 years
Step-by-step explanation:
Let Adam's age be
, since the father is 3 times as old as him , then the father will be
.
Two years ago
Adam = 
Father = 
since Adam was 15 years old 2 years ago , this means that

add 2 to both sides

Therefore , Adam is presently 17 years old , then the father will be 3(17) years , which means that the father is presently 51 years old.
In 5 years time , the father will be 51 + 5 years old. That is , the father will be 56 years old in 5 years time
X^2+y^2=z^2
x^2+96^2=100^2
x=sqrt(100^2-96^2)
x=28 so the distance from the base of the ladder and the base of the ladder is 28ft.
Hope this helps. Any questions please just ask. Thank you.