Assignment:
Let Θ (theta) be the angle between equal sides of an isosceles triangle and let x be the length of these sides. If x is increasing at ½ meter per hour and Θ (theta) is increasing π/90 radians per hour, find the rate of increasing of the area when x=6 and Θ=π/4.
Provide complete and step by step solution for the question and show calculations and use formulas.