Answer:
θ = 33.12° = 0.578 rad
Solution:
To find θ you’ll need to use one of the common trig functions or sin, cos, or tan.
sin(θ) = (opposite side) / (hypotenuse)
cos(θ) = (adjacent side) / (hypotenuse)
tan(θ) = (opposite side) / (adjacent side)
In this case we have the adjacent side and hypotenuse so we will use cos.
We can take the inverse of cos to isolate θ:
θ = arccos[ (adjacent side) / (hypotenuse) ]
Now plug in the values and solve to find the value. Make sure your calculator is set to either degrees or radians depending on how the question asks it for.
θ = 33.12° = 0.578 rad