SOLUTION: a hiker walks 14.7 km at an angle of 305 from east. find the x and y component of this walk. Include the diagram.

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Question 1204008: a hiker walks 14.7 km at an angle of 305 from east. find the x and y component of this walk. Include the diagram.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
an angle of 305 from the east is normally assumed to be counter-clockwise from the east side of the x-axis.

your angle will therefore be in the 4th quadrant because it is greater than 270 and less than 360.

the reference angle would be equal to 360 - 305 = 55 degrees.

the hypotenuse of the triangle formed from that angle would be 14.7 km.

the x component would be equal to 14.7 * cosine(55) = 8.431573614.

the y component would be equal to 14.7 * sine(55) = 12.04153505.

here's a sketch of the angle with the x and y component.



the x component is going towards the east.
the y component is going towards the south.

the coordinates of the terminal point of the line of travel is (8.431573614, -12.04153505)

that point is 14.7 km from the originating point whose coordinates are (0,0).