A 15 ft ladder leans against the side of a house. The top of the ladder is 13 ft off the ground. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.

Answer:
x= 60.1 degrees
Step-by-step explanation:
The triangle forms a right angle triangle
Opposite side of angle x = 13 ft
Hypotenuse of the triangle = 15
We know the opposite side and the hypotenuse
So we use trigonometric formula sin(x)
[tex]sin(x) = \frac{opposite}{hypotenuse}[/tex]
[tex]sin(x) = \frac{13}{15}[/tex]
When we move 'sin' to the other side it becomes 'sin^-1'
[tex]x=sin^{-1}(\frac{13}{15})[/tex]
x = 60.073565