A 22-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 12 feet from the base of the building. How high up the wall does the ladder reach?

Question

A 22​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 12 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 solve for the height the ladder reaches on the wall. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the ladder) is equal to the sum of the squares of the other two sides. Let x be the height up the wall that the ladder reaches. 12^2 + x^2 = 22^2 144 + x^2 = 484 x^2 = 484 - 144 x^2 = 340 x = √340 x ≈ 18.44 feet Therefore, the ladder reaches approximately 18.44 feet up the wall.

A 22​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 12 feet from the base of the building. How high up the wall does the ladder​ reach?

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

A 22-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 12 feet from the base of the building. How high up the wall does the ladder reach?