Marko is playing the video game Fort Attack. The purpose of the game is to shoot invading bandits that are trying to breach the fort's circular wall, and Marko must provide the angle at which the cannon should turn in order to shoot the attacking bandits. The bandit is attacking as pictured in the figure:

The unit circle is shown. There is an angle 30 degrees counterclockwise from the positive y axis. An image of a bandit is shown at the point of intersection between the angle and unit circle.

What is the angle of fire in standard position on the unit circle in both degrees and radians?

Question

Marko is playing the video game Fort Attack. The purpose of the game is to shoot invading bandits that are trying to breach the fort's circular wall, and Marko must provide the angle at which the cannon should turn in order to shoot the attacking bandits. The bandit is attacking as pictured in the figure:

The unit circle is shown. There is an angle 30 degrees counterclockwise from the positive y axis. An image of a bandit is shown at the point of intersection between the angle and unit circle.

What is the angle of fire in standard position on the unit circle in both degrees and radians?

anonymous · Answer

120°; pi over 6 radians

 120°; 2 pi over 3 radians

 30°; pi over 3 radians

 30°; 2 pi over 3 radians

anonymous · Answer

I think it's either C or D, but i'm not sure what to do to prove it.