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If a tower casts a shadow 11 feet long the distance from the top of the tower to the end of the shadow is 61 feet .. How many feet tall is the tower

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[tex]Use\ the\ Pythagoras\ Theorem:\\\\H^2+11^2=61^2\\\\H^2+121=3721\ \ \ \ |subtract\ 121\ from\ both\ sides\\\\H^2=3600\\\\H=\sqrt{3600}\\\\\boxed{H=60}\\\\Answer:Tower\ is\ 60\ feet\ tall.[/tex]Answer here
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