Analytic Geometry: Applications Quiz Welcome to your Analytic Geometry: Applications QuizPlease click "Next"Consider the situationA cottage is to be built in a flat area near the straight road that connects the two resorts in a forest. A new side road will connect the cottage to the road between the two resorts. On the area map, the resorts have coordinates A (2.0, 8.5) and B (10.0, 4.5), while the site for the cottage is at C (6.0, 1.5). Each unit on the map grid represents 0.5 km.What would be the shortest route (in km) for the road to the cottage from the road connecting the two resorts?Consider the situationThe highway runs along the line 2y + x = 10.According to the map, the house is located at point H (2, -1).Each unit on the map represents 100 m.How far (in meters) is the house from the highway? Please round your final answer to the nearest whole numberConsider the situationTwo cars are parked some distance away from each other.On the map, one car is located at P (-2, 4) and the other car is at O (8, 1).What is the distance (in meters) between the two cars if each unit on the map represents 10 m?Please round your final answer to the nearest tenthsConsider the situationAn airplane is flying in the sky along some path.You are standing in your backyard, staring at the plane.When this situation is projected to a 2D map, the plane is flying along the y = 2x - 5 line and you are at a point on the map with coordinates (11, 7). Each unit on the map represents 1 km. What would be the shortest distance between you and a plane in km?Please round your final answer to the nearest hundredthsTime is Up!