SOLUTION: the base of a 19-ft ladder is 6 feet away from the wall. How far above the floor is the top of the ladder? give your answer to the nearest thousandth. Thank you for any help in so

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Question 1018142: the base of a 19-ft ladder is 6 feet away from the wall. How far above the floor is the top of the ladder? give your answer to the nearest thousandth.
Thank you for any help in solving this problem
Daniel H. Jack

Found 2 solutions by Boreal, solver91311:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
The ladder is the hypotenuse (draw this) and is 19, and one side is 6. Pythagorean theorem: 6^2+x^2=19^2=361
36+x^2=361
x^2=325
x=18.028 feet.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Use the Pythagorean Theorem.



Solve for . Discard the negative value because the problem is asking for a length measure which must be positive.

By the way, asking for a measurement answer to the nearest thousandth when the given measurements are specified to the nearest whole number is just silliness. Measurements that are the results of calculations should never be expressed to a greater precision than the least precise input measurement. If your instructor wanted this answer to the nearest thousandth, then the given values should have been 19.000 feet and 6.000 feet.

John

My calculator said it, I believe it, that settles it

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