SOLUTION: The base of a ladder is 3 feet away from the wall. The top of the ladder is 14 feet from the floor. Find the length of the ladder to the nearest thousandth. Thanks~ ac

Question 58324: The base of a ladder is 3 feet away from the wall. The top of the ladder is 14 feet from the floor. Find the length of the ladder to the nearest thousandth.
Thanks~
ac
Found 2 solutions by Nate, funmath:
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
............................./..|.....
............................/...|.....
.........................../....|.....
.....................c../......|.14ft
......................../.......|.....
....................../.........|.....
..................../...........|.....
................../_3ft__|.....
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a^2 + b^2 = c^2
14^2 + 3^2 = c^2
196 + 9 = c^2
205 = c^2
sqrt(205) = c = about 14.318ft
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Hi ac,
The base of a ladder is 3 feet away from the wall. The top of the ladder is 14 feet from the floor. Find the length of the ladder to the nearest thousandth.
:
The ladder, floor and wall form a right triangle in which the wall and floor are the legs and the ladder is the hypotenuse.
The pythagorean theorem can be used to solve this kind of problem: c=hypotenuse, a=one leg, and b=other leg.
Let the ladder=c.

Happy Calculating!!!
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