ck 2.7.4 geometry.docx YOUR ASSIGNMENT: About Face! Your Peak of Choice Your friend Tyler is preparing to climb a rock face and wants to gure out how far he will need to climb to reach one of three different peaks. You remember a trick you can use to help him out. You realize that if you place a small mirror on the ground and move it to where Tyler can see the reection of the peak in the mirror. then the angles from the mirror to Tyler and from the mirror to the peak are congruent. Use what you have learned about triangles, the mirror, Tyler, and the peak to find the height of the peak. Dening Your Triangles 1. Which peak did you select? (1 point) yler will climb peak 2. In the drawing below, label the distances given for the peak you chose. (3 points: 1 point for each correct distance} 4. To nd the height of the peak. list the corresponding sides and angles of the two triangles you and Tyler have created. (6 points: 1 point for each pair of sides or angles) Finding the Height 5. Which segment of the triangle will give you the height of your peak? Write the equation for the proportion that will allow you to nd the height. (2 points: 1 point for identifying the correct segment. 1 point for the correct equation) 6. Use your equation to nd how high Tyler will have to climb to scale the peak. (4 points: 2 points for correctly substituting values. 2 points for the correct height)