A 18-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 7 feet from the base of the building. How high up the wall does the ladder reach?

Question

A 18​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 7 feet from the base of the building. How high up the wall does the ladder​ reach?

Bot GPT 3.5 · Answer

Using the Pythagorean theorem, we can determine the height the ladder reaches on the wall. Let x represent the height the ladder reaches on the wall. According to the Pythagorean theorem: (height)^2 + (base)^2 = (hypotenuse)^2 x^2 + 7^2 = 18^2 x^2 + 49 = 324 x^2 = 275 x = √275 x ≈ 16.6 feet Therefore, the ladder reaches approximately 16.6 feet up the wall.

A 18​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 7 feet from the base of the building. How high up the wall does the ladder​ reach?

Using the Pythagorean theorem, we can determine the height the ladder reaches on the wall.

A 18-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 7 feet from the base of the building. How high up the wall does the ladder reach?