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Academic Geometry Unit 5 Project Clinometers, Angles of Elevations and Trigonometry Directions for Data Collection You will be form a group of either three or four. You will be finding the height of three given objects found on the data collection table and two objects of your choice. You will do this by measuring the angle of elevation to the top of the object with your clinomoeter, the ground distance from the clinometer to the base of the object, and the distance from the clinometer to the ground. Each person in your group must have a job during the data collection stage. They are as follows: Groups of 3 Job 1: o Hold the clinometer aimed at the top of the object Job 2: o Read the clinometer while person 1 is aiming it. o Hold one end of the measuring tape when measuring the ground distance from the clinometer to the base of the object, and the vertical distance from the clinometer to the ground. Job 3: o Hold one end of the of measuring tape when measuring the ground distance from the clinometer to the base of the object, and the vertical distance from the clinometer to the ground, o Write all Data on the data collection table Groups of 4 Job 1: o Hold the clinometer aimed at the top of the object Job 2: o Hold one end of the measuring tape when measuring the ground distance from the clinometer to the base of the object, and the vertical distance from the clinometer to the ground. Job 3: o Hold one end of the of measuring tape when measuring the ground distance from the clinometer to the base of the object, and the vertical distance from the clinometer to the ground Job 4: o Read the clinometer while person 1 is aiming it. o Write all Data on the data collection table Notes Angle measures are in degrees and distance measurements are in inches. Do not assume that because the same person is using the clinometer each time (if you choose to do it this way) that the distance from the clinometer to the ground is the same. Photograph your efforts. Please make sure each member of the group is in at least one photo, AT EACH SITE. Trigonometry Project – Data Collection Sheet Object Flag Pole School Building Goal Posts on Football Field Choice 1 Choice 2 Angle of Elevation (in degrees) Ground Distance from Clinometer to the base of object (in inches) Height of Clinometer (in inches) Academic Geometry Unit 5 Project Clinometers, angles of elevations and trigonometry Names _____________________ _____________________ ____________________ Data Analysis Object 1: Flag Pole a. Draw a Diagram that includes all measurements collected. (2 pts) b. Find the height of this object using trigonometry. Show the trig function used, the trig equation used, and all work leading to the answer. (4 pts) Object 2: School Building a. Draw a Diagram that includes all measurements collected. (2 pts) b. Find the height of this object using trigonometry. Show the trig function used, the trig equation used, and all work leading to the answer. (4 pts) Object 3: Goal Post a. Draw a Diagram that includes all measurements collected. (2 pts) b. Find the height of this object using trigonometry. Show the trig function used, the trig equation used, and all work leading to the answer. (4 pts) Object 4: _________________________ a. Draw a Diagram that includes all measurements collected. (2 pts) b. Find the height of this object using trigonometry. Show the trig function used, the trig equation used, and all work leading to the answer. (4 pts) Object 5: _________________________ a. Draw a Diagram that includes all measurements collected. (2 pts) b. Find the height of this object using trigonometry. Show the trig function used, the trig equation used, and all work leading to the answer. (4 pts) Critical Thinking (4 pts each) 1. Which trigonometric function were you most inclined to use and why? Describe in detail why it would be difficult to collect the data necessary for the other two trigonometric functions. 2. Describe how you might find the length of a window that is very high up on a building without getting a ladder and measuring it with a tape measure. Draw a diagram if necessary. WHAT TO SUBMIT 1. 2. 3. 4. 5. Data Collection Table Photographs Data Analysis Pages, including diagrams and calculations Critical Thinking Questions On an individual basis, a written summary detailing your experience. Feel free to include details about the group dynamic such as scheduling and individual contributions, details about