Afireman is standing 30 m directly west of a burning building. his ladder reaches 50m up the side of the building. what is the angle of elevation to the closest degree of his ladder?

As per the statement:

You can see the diagram as shown below.

Distance of fireman stands away from the building = 30 m

Length of the ladder = 50 m

Using Cosine ratio:

....[1]

From the diagram:

Adjacent side = 30 m

Hypotenuse side = 50 m

Substitute these values in [1] to solve for angle of elevation()

or

Simplify:

Therefore, the angle of elevation to the closest degree of the ladder is 51.13 degree

thats not a system of equations, that is a solution