SOLUTION: Two sides of a triangle have lengths 13 m and 19 m. The angle between them is increasing at a rate of 2�/min. How fast is the length of the third side increasing when the angle bet

Question 1127033: Two sides of a triangle have lengths 13 m and 19 m. The angle between them is increasing at a rate of 2�/min. How fast is the length of the third side increasing when the angle between the sides of fixed length is 60�? (Round your answer to three decimal places.)
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!

The length of the third side, c, is related to the angle x by the law of cosines:

Find the derivative:

Evaluate the derivative for x = 60 degrees and dx/dt = pi/90 (2 degrees per minute, in radian measure):

This evaluates to 0.444 ft/min, to 3 decimal places.
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