A ladder 13 feet long is leaning against a wall. If the base of the ladder is 5 feet from the wall, how high does the ladder reach on the wall? Use the Pythagorean theorem.

Wed, 06 May 2026 01:26:18 +0000

**A ladder 13 feet long is leaning against a wall. If the base of the ladder is 5 feet from the wall, how high does the ladder reach on the wall? Use the Pythagorean theorem.** Urban home improvement forums, DIY projects, and home safety discussions are buzzing with curiosity about basic geometry in everyday life. With many Americans tackling renovation or repurposing tasks, questions like “How high does a 13-foot ladder reach when leaned at a 5-foot distance from the wall?” are surfacing—not as sensational trends, but as practical concerns rooted in safety and accuracy. The classic Pythagorean theorem offers a reliable answer, blending math with real-world utility. Understanding how ladder safety intersects with geometry helps prevent accidents and supports smarter home projects. --- ### The Science Behind the Lean: Pythagorean Theorem in Action