Question 241249: Points on the terminal sides of angles play an important part in the design of arms for robots. Suppose the robot's arm can change its length in addition to rotating about the origin in a coordinate plane. If the hand is initially at (12, 12), approximately how many degrees should the arm be rotated and how much should its length be changed to move the hand to (-17, 11)? Please round the first answer to the nearest whole number and the second answer to the nearest hundredth.
I tried and got 258 degrees but I don't think that is correct and I have no idea about what the length should be changed to.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Points on the terminal sides of angles play an important part in the design of arms for robots. Suppose the robot's arm can change its length in addition to rotating about the origin in a coordinate plane. If the hand is initially at (12, 12), approximately how many degrees should the arm be rotated and how much should its length be changed to move the hand to (-17, 11)? Please round the first answer to the nearest whole number and the second answer to the nearest hundredth.
----------------
The length is the distance from the Origin,
@(12,12), s = 12*sqrt(2) =~16.97
@(-17,11), s = 20
Diff =~ 3.03 units
-------------------
@(12,12), angle = 45º
@(-17,11), angle = arctan(11/-17) =~147.09º
Change =~ 102.09º ccw
|
|
|
