Island Bridge Problem: Suppose that you work for a construction company that is planning

Chapter 6, Problem 9

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Island Bridge Problem: Suppose that you work for a construction company that is planning to build a bridge from the land to a point on an island in a lake (Figure 6-4d). The only two places on the land to start the bridge are point X and point Y, 1000 m apart. Point X has better access to the lake but is farther from the island than point Y. To help decide between x and y, you need the precise lengths of the two possible bridges. From X you measure a 42 angle to the point on the island, and from Y you measure 58. Figure 6-4d a. How long would each bridge be? b. If constructing the bridge costs $370 per meter, how much could be saved by constructing the shorter bridge? c. How much could be saved by constructing the shortest possible bridge (if that were okay)?

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