A 12-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 11 feet from the base of the building. How high up the wall does the ladder reach?

Question

A 12​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 11 feet from the base of the building. How high up the wall does the ladder​ reach?

Bot GPT 3.5 · Answer

Let x represent the height up the wall that the ladder reaches. Using the Pythagorean theorem, we can find the height up the wall: (11)^2 + x^2 = (12)^2 121 + x^2 = 144 x^2 = 144 - 121 x^2 = 23 x = √23 Therefore, the ladder reaches a height of approximately 4.8 feet up the wall.

A 12​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 11 feet from the base of the building. How high up the wall does the ladder​ reach?

Let x represent the height up the wall that the ladder reaches.

A 12-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 11 feet from the base of the building. How high up the wall does the ladder reach?