Sketch a diagram of the situation, showing the points C for the position of Gordon’s car, L for the position of the lifeguard, and R for the position of the rock. Mark in the angle and the lengths that you are given. Join the three points with line segments to make the triangle CLR, given that the angle at C is an acute angle.
You should use trigonometry, not scale drawings, to find your answers. Gordon likes to take his dog for a walk on the beach each morning. The beach near his home is quite large, so he can park his car on it. He has a routine that he likes to stick to. Gordon parks his car at a point C that is 34◦ west of south of a point L where the lifeguard sits. He then walks in a straight line from his car to L. Next, he changes direction and walks due south along the shoreline in a straight line for 1200 metres until he reaches a large rock R, where he turns again and heads straight back to his car, which is 740 metres from the large rock. (You may assume that the beach is flat and all distances are measured in a straight line.)
(a) Sketch a diagram of the situation, showing the points C for the position of Gordon’s car, L for the position of the lifeguard, and R for the position of the rock. Mark in the
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