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 neare

Question

2 years ago

9

st tenth

2 answers:

Naily [24] · Answer 1 · 2023-08-01T03:53:58+03:00

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

<h3>What is the Cosine of an angle?</h3>

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:

Maurinko [17] · Answer 2 · 2023-08-01T02:14:53+03:00

7 0

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