AW Math 11 Chapter 4 Assignment Please show all your work in order to receive full marks for each question. Each question is worth 2 marks. Total marks for the assignment is 14 marks. 4.1 Solving for...

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AW Math 11 Chapter 4 Assignment Please show all your work in order to receive full marks for each question. Each question is worth 2 marks. Total marks for the assignment is 14 marks. 4.1 Solving for Angles, Lengths, and Distances 1. A roller coaster at an amusement park heads upwards at an angle of 400 for 50m along the slope, then drops right back to ground level over a horizontal distance of 30m. What is the angle of descent, indicated by x? (Please see the graph on next page) 2. Vasee is fabricating a plate metal chute that will be used to guide crushes ore from the end of one conveyor onto the beginning of another one below it. The diagram below shows a side view of the chute. a) What is the area expressed in square metres of one of the side pieces? b) If the chute is 1200mm wide, what is the area expressed in square metres of the piece of plate that will form the sloped face of the chute? 4.2 Solving Complex Problems in the Real World 1. The straight-line distance of an airplane to a control tower is 36.2 km. If the angle of elevation from the tower to the plane is 4°, and the plane is 24 km south of the tower, how much west of the tower is the plane? 2. Tim looks straight north and sees the top of a building 40 m distant at an angle of elevation of 20°. He looks straight west from the same position and sees the top of a building 80 m distant at an angle of elevation of 14 °. a) Sketch the situation. b) Which building is taller, and by how much? c) What is the straight-line distance between the top points of the buildings that Tim used to measure? d) What is the angle of elevation from the top of the lower building to the top of the higher building? Practice Your New Skills 1. Anna-Mieke heads out on an orienteering trek and travels 300 m north and 130m east. Anne-Christine heads out from the same point and travels 200 m west and 420 m north. a. What is the direction of each girl from the starting point? b. What is the distance between the two girls? 2. A mountaineer uses a clinometer to sight the top of a mountain at an angle of 70°. She walks 300 m closer to the mountain and now sights the top at an angle of 75°. How high is the mountain? 3. James, a member of the Liard First Nation, is at a fire lookout tower near Watson Lake, Yukon. He sees smoke at a bearing of 215°. An alert tourist on the Alaska Highway 12 km west of the lookout tower also sights smoke, and uses her onboard GPS to determine its bearing relative to her position to be 125°. Calculate the distance of the fire from the lookout tower.