Question 1

A Kite 60 feet above the ground moves horizontally at a speed of 5 ft/s. At what rate is the angle between the string and the ground decreasing when 160 feet of string is out?Two sides of a triangle have lengths 9 m and 12 m. The angle between them is increasing at a rate of 0.03radians /min. How fast is the length of the third side increasing when the angle between the sides of fixed length is 7 /3 radians. Note: The length of the side c of a triangle is given by the law of cosines: c2 = a2 + b2 - 2ab cos(0), where a and b are the other two sides and O is the angle between them. Check the Trigonometric formulas at the end of the book on Reference Page 2