# SOLUTION: For safety reasons, the base of a 26 foot ladder should be at least 8 feet from the wall.How high can a 26 foot ladder safely reach?

Algebra ->  Algebra  -> Length-and-distance -> SOLUTION: For safety reasons, the base of a 26 foot ladder should be at least 8 feet from the wall.How high can a 26 foot ladder safely reach?      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Geometry: Length, distance, coordinates, metric length Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Length-and-distance Question 117600: For safety reasons, the base of a 26 foot ladder should be at least 8 feet from the wall.How high can a 26 foot ladder safely reach?Answer by jim_thompson5910(28593)   (Show Source): You can put this solution on YOUR website!We basically have this triangle set up: Since we can see that the triangle has legs of x and 8 with a hypotenuse of 26, we can use Pythagoreans theorem to find the unknown side. Pythagoreans theorem: where a and b are the legs of the triangle and c is the hypotenuse Plug in a=x, b=8, and c=26. Now lets solve for x Square each individual term Subtract 64 from both sides Combine like terms Take the square root of both sides Simplify the square root Which approximates to... So our answer is So the ladder can reach about 24.74 feet