Question 863694: the origin is at the center of a clock with the positive x-axis going through 3 and the positive y axis going through 12. the hour hand is 3 cm long and the minute hand is 4 cm long. What are the cartesian coordinates and polar coordinates of the tips of the hour hand and minute hand, H and M, respectively, at the following times? 9 am and at 3:30 p.m.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! the origin is at the center of a clock with the positive x-axis going through 3 and the positive y axis going through 12. the hour hand is 3 cm long and the minute hand is 4 cm long. What are the cartesian coordinates and polar coordinates of the tips of the hour hand and minute hand, H and M, respectively, at the following times? 9 am and at 3:30 p.m.
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At 9AM::
hr hand at 9 = 180 degrees
Cartesian: (-3,0)
Polar: (3,180)
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min hand at 12 = 90 degrees
Cartesian: (0.4)
Polar: (4,90)
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At 3:30 PM
hr hand at 3.5 = 345 degrees
Cartesian:: (3cos(345),3sin(345)) = (2.9,-0.776)
polar: (3,345)
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min hand at 6 = 270 degrees
Cartesian:: (0,-4)
Polar:: (4,270)
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Cheers,
Stan H.
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