Sam is playing the video game Moon Attack. The purpose of the game is to shoot aliens that are landing on the surface of the moon, and Sam must provide the angle at which the laser gun should turn in order to shoot the attacking alien. The alien is landing as pictured in the figure. An image of the unit circle is shown. An angle 30 degrees from the positive y axis is drawn with the image of an alien at the point of intersection between the unit circle and the angle. What is the angle of fire in standard position on the unit circle on both degrees and radians?.

Respuesta :

I saw the graph.

The circle was divided into 4 quadrants. Each having an angle of 90°. 30° was given and it originated from the positive y-axis. 

Using the standard position, the angle of fire in both degrees and radians is:

90° - 30° = 60°

1pi = 180°

60° = 180°/3  so pi over 3.

the answer is: 60° ; pi over 3

In standard form the angle is 60°, and written in radians, the angle is pi/3.

What is the angle?

We know that when measured from the positive y-axis, the angle is 30°.

Then the angle measured in standard form (from the positive axis) is:

A = 90° - 30° = 60°

So the angle of fire in standard position is 60°.

Now let's change the units, we know that:

180° = pi

Then:

1 = pi/180°

So we can rewrite:

60° = 60°*( pi/180°) = pi/3

If you want to learn more about angles:

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