Science:Math Exam Resources/Courses/MATH104/December 2012/Question 05 (b)/Hint 1

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This question heavily relies on understanding the problem and the diagram in part (a) and thus all notation here out refers to the diagram in part (a). The diagram labels the important triangles and values. The key relationships needed are in (from Alice's head to the lamp post to L), triangle APL, (from Bob's head to the lamp post to L), and triangle BPL. Let C denote the length of the segment AP and let D denote the length of the segment BP.

The next hints will be successions of understanding what the values are with respect to these letters.