How high up on the wall will a 20-foot ladder touch if the foot of the ladder is placed 5 feet from the wall? Round to the nearest tenth

The ladder with a length of 20 feet makes 19.4° with the ground.
Length of the ladder = 20 feet
Distance of base of the ladder from the wall = 5 feet
The cosine of an angle is the ratio of the adjacent side(to that angle) to the hypotenuse of the right triangle.
Suppose the ladder makes [tex]0[/tex] from the ground.
So, [tex]Cos0=\frac{5}{20}[/tex]
[tex]Cos0=\frac{1}{4}[/tex]
[tex]0=Cos^{-1}(\frac{1}{4})[/tex]
[tex]0=Cos^{-1}0.3[/tex]
[tex]0=19.4[/tex]°
Thus, the ladder makes 19.4° with the ground.
To get more about trigonometric ratios visit:
https://brainly.com/question/24349828