SOLUTION: The base of a ladder is 14 feet away from the wall. The top of the ladder is 17 feet from the floor. Find the length of the ladder to the nearest thousandth.

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Question 87845: The base of a ladder is 14 feet away from the wall. The top of the ladder is 17 feet from the floor. Find the length of the ladder to the nearest thousandth.
Answer by jayanthihemkos@yahoo.com(87) About Me  (Show Source):
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The base of a ladder is 14 feet away from the wall. The top of the ladder is 17 feet from the floor. Find the length of the ladder to the nearest thousandth.
AB = 17 ft , BC = 14 FT
applying pythagros theorem we have
AC^2 = AB^2+BC^2
AC = SQUARE ROOT OF AB^2+BC^2
AC =SQUARE ROOT OF 17^2 + 14^2
AC =SQUARE ROOT OF 289 + 196
AC =SQUARE ROOT OF 485
AC = 22.022

HENCE THE LENGTH OF THE LADDER = 22.022 ft