Question 405667: Suppose a robot has a straight arm 18 inches long, that can rotate about the origin in a coordinate plane. If the robot’s hand is at first located at the point (18, 0) and then rotates through an angle of 60 degrees, what’s the new location (i.e. coordinates) of the hand? (Show calculations and a draw diagram.)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose a robot has a straight arm 18 inches long, that can rotate about the origin in a coordinate plane. If the robot’s hand is at first located at the point (18, 0) and then rotates through an angle of 60 degrees, what’s the new location (i.e. coordinates) of the hand?
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Radius = 18
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After rotation DATA:
x = r*cos(60) = 18*(1/2) = 9
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y = r*sin(60) = 18*Sqrt(3)/2 = 9sqrt(3)
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New Location: (9,9sqrt(3))
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Cheers,
Stan H.
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