Concept Check The two methods of expressing bearing can be interp...

Question

Concept Check The two methods of expressing bearing can be interpreted using a rectangular coordinate system. Suppose that an observer for a radar station is located at the origin of a coordinate system. Find the bearing of an airplane located at each point. Express the bearing using both methods.

(2, 2)

Accepted Answer

Determine the bearing of an object located at the point represented by the coordinates given we got the 0.44. And we have four possible answers. We have the Bering South 1 35 East East, 45 North South, 1 35 North or North 45 East. Now to solve this, let's first plot our point and draw a vector from the origin. We have a point at 44 which would go on the X by four and the Y up four, which is roughly in quadrant one, somewhere here draw a vector between the origin and the point. And now we can determine our angle. Now, from the north, you see we have this angle solve this, we can use our tangent function tangent of the angle. Theta is equals to Y divided by X where Y is four, X is also four, we get 10 data as equals to one. Now, if we take the inverse tangent equals 10 and verse of one, this gives us 45 degrees, which means our missing angle, it's 45 degrees. Now, because we are referencing from the north and we're moving clockwise, we're moving to the east. This means our bearing is north 45 degrees east. This means the answer to our problem is answer D ok. I hope to help you solve the problem. Thank you for watching. Goodbye.

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