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?
.
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