Problema Solution

in the figure below the base of the ladder is 3 feet from the house if the ladder forms a 79 degree angle with the ground what is the length of the ladder rounded to the nearest hundredth

Answer provided by our tutors

let l = the length of the ladder


the ladder, the wall and the ground form a right triangle


cos(79) = 3/l


l = 3/(cos(79))


l = 15.72 ft


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the ladder is 15.72 feet long.