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a castle guard is standing on the opposite side of a 4 foot moat and wants to reach a window that is 23 feet above the ground. The guard props a ladder against the castle wall to form a right triangle angle as shown. Approximate the length of the ladder needed to reach the window to the nearest tenth of a foot

 Mar 30, 2017
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answer is 23.3 ft.

a^2 + b^2 = c^2

4^2 + 23^2 = c^2

16 + 529 = c^2

545 = c^2

then square root both sides

c = 23.34...

c = 23.3 ft.

 Mar 30, 2017
edited by Snappingtunic99  Mar 30, 2017

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