Question

The radius of the circle below intersects the unit circle at (3/5, 4/5). What is the approximate value of teta?

Answer 1

53.1

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Answer 2

For this case we can use the following trigonometric relationship:
tan (theta) = y / x
Substituting values we have:
tan (theta) = (4/5) / (3/5)
Rewriting we have:
tan (theta) = 4/3
Clearing theta:
theta = Atan (4/3)
theta = 53.13 degrees
Answer:
the approximate value of teta is:
theta = 53.13 degrees