Question

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The Drug Runner Problem
  Two listening posts 5.43 miles apart pick up a brief radio signal. The sensing devices were oriented at 110° and 119°, respectively, when the signal was detected (see Figure 1); and they are accurate to within 2°. The signal came from a region of active drug exchange, and it is inferred that there is a powerboat waiting for someone to pick up drugs. It is dusk, the weather is calm, and there are no currents. A Small helicopter leaves a pad from Post 1 and is able to fly accurately along the 110° angle direction. The helicopter’s speed is three times the speed of the boat. The helicopter will be heard when it gets within 500 ft of the boat. This helicopter has only one detection device, a searchlight. At 200 ft, it can just illuminate a circular region with a radius of 25 ft.

Figure 1. Geometry of the problem.
• Describe the (smallest) region where the pilot can expect to find the waiting boat.
• Develop an optimal search method for the helicopter.
Use a 95% confidence level in your calculations.

Answer 1

毒品逃跑者
2个相距5.43英里的情报站收到一个无线电信号。当探测到信号时，传感器分别指向110度和119度（见图表1），传感器精确到2度以内。信号的传送地是一个正在进行毒品交易的地区，并指出有一艘机动船正在等待接应毒品。天有些暗，天气平静，没有气流。一架直升机从情报站1沿着110度角精确飞行。直升机的速度是船的速度3倍。在500英尺内直升机可得知到船。直升机只有一个探测器，一个探照灯，在200英尺左右，它可以照亮半径是25英尺的区域。

图表1：几何学问题
描述一个（最小）区域，当驾驶员或许会找到等待的船。
建立一个最佳的直升机搜寻方案
请在计算中运用95%的置信等级