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.) (b) Gordon would like to calculate the distance between his car and the lifeguard. He realises that in triangle CLR he has two side lengths and an angle. He mistakenly concludes that he can solve his problem with a single direct application of the Cosine Rule,Explain, as if directly to Gordon, why this situation is not quite so straightforward.
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.)
(b) Gordon would like to calculate the distance between his car and the lifeguard. He realises that in
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