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?

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) (Show Source): You can put this solution on YOUR website!
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

RELATED QUESTIONS
The foot of a ladder is placed 12 feet from a wall. If the top of the ladder rests 9... (answered by nerdybill)

The foot of an extension ladder is 10 feet away from the base of a wall. The ladder is 2... (answered by checkley79,scott8148)

The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet... (answered by solver91311,nerdybill)

(Pythogorean Theorem) The foot of a ladder is placed 6 feet from a wall. If the top of... (answered by stanbon)

a ladder that is 13 feet long is a 5 feet from the base of a wall. How far up the wall... (answered by bucky)

A ladder that is 26 feet long is 10 feet from the base of a wall. How far up the wall... (answered by jim_thompson5910)

A ladder that is 13 feet long is 5 feet from the base of a wall. How far up the wall does (answered by Alan3354)

A ladder that is 17 feet long is 8 feet from the base of a wall. How far up the wall does (answered by josgarithmetic,MathTherapy)

The bottom of a 13-foot long ladder is placed 5 feet away from a wall so that the ladder... (answered by checkley71)