A 19-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on

Question

A 19​-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?

GPT-5 mini · Answer

Use the Pythagorean theorem. If h is the height up the wall,

h = sqrt(19^2 − 7^2) = sqrt(361 − 49) = sqrt(312) = 2√78 ≈ 17.66 feet.

A 19-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?

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A 19​-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?

All Answers 1

Submit Your Answer

A 19-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?