What is the measure of angle R?
(As a decimal rounded to the nearest hundreth)
Here you go:
∠ R = α = 28.072° = 28°4'21″ = 0.49 rad
This is a trigonometry problem. We have to use inverse oprations.
We can use any of the sine, cosine, tangent, cotangent, secant, and cosecant since we know all of the 3 sides.
Let's just say we use sine.
It is basically the ratio of the side opposite to the angle to the hypotenuse.
In this case, it is 8 : 17.
The inverse of sine of 8/17 is 49 rad or about 28 degrees.
I hope this helps.