How far from the base of the house do you need to place a 15ft ladder so that it exactly reaches the top of a 12ft tall wall

It's a right triangle problem, and pretty obviously a multiple of the only Pythagorean Triple most folks know, 3²+4²=5².  In this case we multiply the lengths by three getting

9²+12²=15²

If we place the 15 foot ladder 9 feet from the house it will hit the house at height 12 feet.

9 feet

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted