Question

Winston leaned a 32-foot ladder against the side of a building. The

base of the ladder is 3 feet from the base of the building. The top of
the ladder is 15 feet from the top of the building. How tall is the
building? Provide an answer accurate to the nearest tenth of a foot.

Answer 1

the building is approximately 28.3 feet tall, accurate to the nearest tenth of a foot.

Explanation:

The height of the building can be found using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, the building is the hypotenuse, and the base of the ladder and the top of the ladder form the other two sides.

The height of the building can be found using the following formula:

h = √(32^2 - 15^2)

h = √(1024 - 225)

h = √(799)

h ≈ 28.3 ft