Question

estimate the given rotation within 10 degrees:
answer attempt 1 out of 3
estimated angle: °

Explanation:

Step1: Analyze the position of the terminal side

The terminal side is in Quadrant III. A full - circle rotation is \(360^{\circ}\), a half - circle is \(180^{\circ}\), and a quarter - circle is \(90^{\circ}\).

Step2: Estimate the angle

The angle is more than \(180^{\circ}\). If we consider that from the negative \(x\) - axis (which is \(180^{\circ}\)), the terminal side is about \(60^{\circ}\) below the negative \(x\) - axis. So the angle is \(180 + 60=240^{\circ}\) (within the requirement of estimating within \(10^{\circ}\)).

Answer:

\(240\)