The diagram representing the scenario is a right angle triangle is shown below.
Taking 65 degrees as the reference angle,
BC = length of the ladder = hypotenuse
AB = the distance from the wall to the base of the ladder = adjacent side
To find AC, we would apply the Cosine trigonometric ratio which is expressed as
Cos# = adjacent side/hypotenuse
Thus,
Cos 65 = AB/5
AB = 5Cos65
AB = 2.1
Therefore, the distance from the wall to the base of the ladder is 2.1 feet
