Answer:
60 degrees or pi/3 radians
Step-by-step explanation:
Remember that the dot product of two vectors is itself a scalar.
Vector A dot Vector B = |A||B|cos theta is the appropriate formula here.
We are told that the dot product value is 30. Thus,
30 = 10*6^cos theta, where theta is the angle formed by the vectors.
30
----- = 1/2 = cos theta.
60
Find the inverse cosine of 1/2. It's 60 degrees or pi/3 radians.