A hockey player skates on a line that is perpendicular to the goal line. If the line on which he is skating is 15 feet to the left of the center of the hockey goal and if the hockey goal is 6 feet wide, then where (what value of x) should he shoot the puck to maximize the angle 9 on goal (see gure)? (Hint: 9 = a (3.) Write an objective function in terms of a single independent variable, x. e: h" '1 i 2 x +216 (Type an equation.) The interval of interest for x is D. (Simplify your answer. Type your answer in interval notation.)