Question

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

Answer 1

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