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Two fixed sides of a triangle are 25m and 17m in length. The angle between them is changing and the area of the triangle is

Two fixed sides of a triangle are 25m and 17m in length. The angle between them is changing and the area of the triangle is increasing at a rate of 8 m 2/s.Find the rate at which the angle between the fixed sides is increasing when the area is4253/4 and the angle between the fixed sides is an acute angle.

Note: Write only the numerical value of the rate, the units are already written. Write the exact answer not the decimal approximation (for example write 1/2not 0.5).

Answer should look like this:

The angle isincreasing at a rate of _____ rad/s

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