Final answer:
To find the rate at which the area of the triangle is increasing, we can use the formula: Area = (1/2) * a * b * sin(C). When the angle is π/3, we can plug this value into the formula to find the rate at which the area is increasing.
Step-by-step explanation:
To find the rate at which the area of the triangle is increasing, we can use the formula: Area = (1/2) * a * b * sin(C), where a and b are the lengths of the two fixed sides and C is the angle between them.
Given that the angle is increasing at a rate of 0, we can substitute the values into the formula: Area = (1/2) * 23.8 * 25 * sin(C)
When the angle is π/3, we can plug this value into the formula to find the rate at which the area is increasing.