SOLUTION: A machinist in a fabrication shop needs to bend a metal rod at an angle of 60° at a point 4m from one end of the rod so that the ends of the rod are 12m apart.

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Question 1206377: A machinist in a fabrication shop needs to bend a metal rod at an angle of 60° at a point 4m from one end of the rod so that the ends of the rod are 12m apart.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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A machinist in a fabrication shop needs to bend a metal rod at an angle of 60°
at a point 4m from one end of the rod so that the ends of the rod are 12m apart.
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Do you have a question ?



Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This suggests to use Law Of Cosines to find some value t, the distance from the bend point
to the other end point of the rod.
Draw the figure described in your problem description.

One end point given as 4 meters from one end point and t is distance from bend point to the
other end point of the rod.
t%5E2%2B4%5E2-2%2A4t=12%5E2
Solve for t.