The distance of the base of the ladder to the base of the building is 22.8 ft
The situation forms a right angle triangle.
Right angle triangle:
Right angle triangle has one of its angle as 90 degrees. The sides and angles can be found using trigonometric ratios. Therefore,
The length of the ladder is the hypotenuse of the triangle formed.
The distance of the base of the ladder to the base of the building is the adjacent sides.
Therefore,
cos 18 = adjacent / hypotenuse
cos 18 = a / 24
cross multiply
a = 24 cos 18
a = 22.8253563911
Therefore, the distance of the base of the ladder to the base of the building is 22.8 ft
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