(15 Points) Suppose we have a triangle which currently has one side (which we shall call Side 1) of length 20 cm , a second side (which we shall call Side 2) of length 30 cm, and an angle of 7V6 radians '79 formed by Side 1 and Side 2. A gt\" Now suppose we wish to start altering the lengths of Side 1 and Side 2, but as we do we also want the area of the triangle to remain constant. The only way we can do this, of course, is to simultaneously alter the measure of the angle 0 as the lengths of Side 1 and Side 2 change, yes? So, if we start increasing the length of Side 1 at a constant rate of 3 cm / sec while simultaneously decreasing the length of Side 2 at a constant rate of 2 cm / sec , at what rate will we need to simultaneously change the measure of angle 6 if we are to ensure that the area of the triangle remains constant? Your answer (which of course must be in radians) must be to at least four decimal places. (One point penalty for each decimal place you fall short.) BTW, it may be useful to recall that the area A of any triangle can be dened as A = (%)absin(6), where a and b are two sides and 0 is the angle they form. Hint: Note that the measures of Side 1, Side 2 , and angle 6 are all functions of time t, yes? Note: You must use methods discussed from the chapters and sections covered by this exam. if your work makes use of methods not discussed in those chapters and sections, or is based upon concepts/principles from other chapters or sections of the text not covered by this exam, you will receive no credit. Your Answer d6 _