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Two sides of a triangle have lengths 8 m and 16 m. The angle between them is increasing at a rate of 0.05 radians

Two sides of a triangle have lengths 8 m and 16 m. The angle between them is increasing at a rate of 0.05 radians /min. How fast is the length of the third side increasing when the angle between the sides of fixed length is /3 radians. Note: The length of the side c of a triangle is given by the law of cosines: c2 = a + b-2ab cos(6), where a and b are the other two sides and is the angle between them. Check the Trigonometric formulas at the end of the book on Reference Page 2

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