Answer:
The ladder will go approximately 35.71 ft up the building.
Explanation:
The 50 ft ladder is leaning against a building and the base of the ladder is 35 feet from the base of the building.
It means the ladder will form a right triangle with the building with the following dimensions:
Using the Pythagorean Theorem to determine the height,

Here,
Substitute the given values into the equation to determine the height:







We know that height can not be negative. Thus,
ft
Therefore, the ladder will go approximately 35.71 ft up the building.