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.) (c) (i) Use the Sine Rule to find the angle at C. Give your answer correct to the nearest degree. (ii) Use your answer to part (c)(i) to find the angle at R. Give your answer correct to the nearest degree. (iii) Find the distance between Gordon’s car and the lifeguard. Give your answer correct to two significant figures.
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.)
(c) (i) Use the Sine Rule to find the angle at C. Give your answer correct to the nearest degree.
(ii) Use your answer to part (c)(i) to find the angle at R. Give your answer correct to the nearest degree.
(iii) Find the distance between Gordon’s car and the lifeguard. Give your answer correct to two significant figures.
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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.)
(c) (i) Use the Sine Rule to find the angle at C. Give your answer correct to the nearest degree.
(ii) Use your answer to part (c)(i) to find the angle at R. Give your answer correct to the nearest degree.
(iii) Find the distance between Gordon’s car and the lifeguard. Give your answer correct to two significant figures.
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