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Mathematics, 08.09.2019 03:20 googoo4

Military search and rescue/apprehension two observation posts 6.72 miles apart pick up a brief radio signal. the sensing devices were oriented at $23'e and s34"e respectively when the signal was detected. the devices are accurate to within 3 (that is 3 of their respective angle of orientation). according to intelligence, the reading of the signal came from a region of active terrorist exchange, and it is inferred that there is a boat waiting for someone to pick up the terrorists. it is dusk, the weather is calm, and there are no currents. a small helicopter leaves a pad from one of the posts and is able to fly accurately along the s23°e vector. this helicopter has only one detection device, a searchlight. at 200 feet, it can just illuminate a circular region with a radius of 25 feet. the helicopter can fly 225 miles in support of this mission due to its fuel capacity. 1. sketch the area of the search region enclosed by the + 3 accuracy in deviation of the two sensing devices. 2. find equations for the four lines bounding the region. 3. find the coordinates of the points of intersection. 4. find the area of the region. 5. if the upper left corner of the search region and the lower right corner set limits on a rectangular region, then what fraction of the rectangle is the search region's area? 6. using the given and calculated parameters, what would be the most efficient search pattern?

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