Aladder leans against a brick wall. the foot of the ladder is 6 feet from the wall. the ladder reaches a height of 15 ft on the wall. find to the nearest degree the angle the ladder makes with the wall.

To solve this question, we would employ the principle of Pythagoras theorem.

The foot of the ladder from the wall being the opposite side, while the height of the ladder being the adjacent side. We are asked to find the angle the ladder makes with the wall.

In a Pythagoras triangle, we know that Tan θ = , this also means that

Tan θ = 6/15

Tan θ = 0.4

θ = Tan⁻¹ (0.4)

θ = 21.8º

Since we are asked to approximate to the nearest angle, we have 22º.

For more on pythagoras triangles, see link

The angle the ladder makes with the wall is equal to

Step-by-step explanation:

Let

x-------> the angle the ladder makes with the wall

see the attached figure to better understand the problem

we know that

In the right triangle ABC

we have

substitute

you need to rotate this triangle about the origin 270 degrees clockwise to create the full square.