A 10-m ladder is leaning against a building. The bottom of theladder is 5-m from the building. How high is the top of theladder?

A 10-m ladder is leaning against a building. The bottom of theladder is 5-m from the building. How high is the top of theladder?
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juicilysv
The building and the ground form a right triangle.We can use the pythaorean theorum to solve.The ladder forms the hypoteneuse.
${5}^{2}+{h}^{2}={10}^{2}\phantom{\rule{0ex}{0ex}}25+{h}^{2}=100\phantom{\rule{0ex}{0ex}}{h}^{2}=75h=\sqrt{75}h=5\sqrt{3}\approx 8.66m$