SOLUTION: a ladder 20 feet long rests 12 feet from the base of a sloping wall and reaches 14 feet up the face of the wall. What is the angle of inclation of the ladder of the wall?

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Question 686264: a ladder 20 feet long rests 12 feet from the base of a sloping wall and reaches 14 feet up the face of the wall. What is the angle of inclation of the ladder of the wall?
Answer by nerdybill(7384) About Me  (Show Source):
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a ladder 20 feet long rests 12 feet from the base of a sloping wall and reaches 14 feet up the face of the wall. What is the angle of inclation of the ladder of the wall?
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since you know the "adjacent" and "opposite" sides of the triangle, we can use the trigonometric relation of:
tan x = oppo/adjacent
tan x = 14/20
tan x = 7/10
x = arctan(7/10)
x = 35 degrees