Question

If you place a 37-foot ladder against the top of a building and the bottom of the ladder is 22 feet from the bottom of the building, how tall is the building?

Answer 1

To find the height of the building, we can use the Pythagorean theorem and solve for 'h'. The ladder is the hypotenuse of a right triangle formed by the ladder, the building, and the ground.

Step-by-step explanation:

To find the height of the building, we can use the Pythagorean theorem. The ladder, the building, and the ground form a right triangle. The ladder is the hypotenuse, and its length is given as 37 feet. The distance from the bottom of the ladder to the bottom of the building is 22 feet. Let's denote the height of the building as 'h'. We can use the Pythagorean theorem to solve for 'h':

37^2 = 22^2 + h^2

By solving this equation, we can find the value of 'h', which represents the height of the building.