A book that is 13 inches tall is leaning against the edge of a wall. If the bottom of the book is 5 inches from the wall, how far up the wall is the top of the book?

Length of the book (hypotenuse) = 13 inches

Distance of the book from the foot of the wall (base) = 5 inches

Length of the book on the wall (perpendicular ''").

By Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

  + (5 in) ² = (13 in)²

+ 25 in² = 169 in²

  = 169 in² - 25 in²

  = 144 in²

  =

  =

  =

  = 12 in

Therefore, the height of the book on the wall is 12 inches.

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