Question

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

Answer 1

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

What is the Cosine of an angle?

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 $0$ from the ground.

So, $Cos0=\frac{5}{20}$

$Cos0=\frac{1}{4}$

$0=Cos^{-1}(\frac{1}{4})$

$0=Cos^{-1}0.3$

$0=19.4$°

Thus, the ladder makes 19.4° with the ground.

To get more about trigonometric ratios visit:

brainly.com/question/24349828

Answer 2

Use Pythagorean theorem
a2 + b2 = c2
x2 + 5^2 = 20^2
x^2 + 25 = 400
x^2 = 375
x = 19.4 feet