Question

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?

Answer 1

any idea what im supposed to do

Answer 2

@Jonathan1997

Answer 3

'@madrockz

Answer 4

@madrockz

Answer 5

30°; pi over 3 radians

30°; pi over 6 radians

60°; pi over 3 radians

60°; pi over 6 radians

The Answers

Answer 6

@ganeshie8

Answer 7

@ganeshie8

Answer 8

@SolomonZelman can u plz help me with this? I have the same exact question

Answer 9

can you exclude any answer choices?

Answer 10

I mean just by reading the options and without even having to know the problem, you should be able to tell me which (two) options you exclude and why.

Answer 11

(Convert the degrees in your choices to radians. For which ever choice, the radians and degrees are not equivalent to each other; that option is to be eliminated).

Converting for example 45 degrees to radians,

\(\large\color{black}{ 45^\circ \times\frac{\LARGE\pi}{\LARGE180^\circ} }\)

you know that \(\large\color{black}{ 180\div 45=4 }\)
and so, you know that \(\large\color{black}{ 45\div 180=1/4 }\) (so, write 4 on the bottom)

\(\large\color{black}{ 45^\circ \times\frac{\LARGE\pi}{\LARGE180^\circ} =\frac{\LARGE\pi}{\LARGE4} }\) (and the degree units, have cancelled)

Answer 12

don't make any mistake, you are counting from a standard position, so you should start from the x-axis, into the 1st quadrant, in an anti-clockwise direction.

Answer 13

is the answer C or D? @SolomonZelman

Answer 14

It is 60°; pi over 3 radians :)
Just took the test, tyy