The angle of elevation that the ladder makes with the building would be 72. 54 degrees.
How to find the angle of elevation?
To find the angle of elevation in this case, you should use the cosine (cos) trigonometric function because the adjacent side (3 meters) is known, and you want to find the angle θ.
The formula for the cosine of an angle in a right triangle is:
cos(θ) = adjacent / hypotenuse
The adjacent side is 3 meters . The hypotenuse is the length of the ladder, which is 10 meters.
To find θ, take the inverse cosine (arccos) of both sides:
θ = arccos(3 / 10)
Now, calculate the angle θ:
θ = arccos(0.3)
θ = 72. 54 degrees