\f4.1.4 Practice: Modeling: Leaning Towers Practice Assignment Geometry Sem 1 (S3852486) Points possible: 20 Max MacCormack Date: ____________ YOUR ASSIGNMENT: Your Tower There are leaning towers all over the world. These towers are referred to as leaning because they do not stand perpendicular to the ground. Some are built that way, and others have simply started to tilt over the centuries. Use what you know about triangles and trigonometry to help find the keys you have accidentally dropped from a leaning tower. Drawing the Tower 1. Which of the towers did you select? Draw a sketch of your tower and label the measurements you have been given. (4 points: 1 point for selection, 1 point for the sketch, 1 point for each label) Name of tower: _______________________________________ Sketch: Sketch your tower below, including the height and angle measurements provided. Finding the Keys 2. Your keys drop from the top of the tower and fall straight to the ground. You want to know how far from the base of the tower the keys landed. Draw a right triangle that will help you solve the problem. Label each triangle with the information you know. (3 points: 1 point for the triangle, 1 point for each label) 3. What trigonometric ratio would you use to find the distance from the base of the tower to your keys? Explain your choice, and then calculate the distance. (4 points: 1 point for the ratio, 1 point for the explanation, 1 point for shown work, 1 point for the answer) Trigonometric ratio (name): ___________________________ Explanation: Calculation (Show your work.): 4. While you're at the top of the tower, you see an ant walking along the edge of the building. If the ant were to walk straight down the side of the tower until it reached the ground, how far would the ant travel? Which trigonometric ratio would you use to find this distance? Use the ratio to find the measurement. (4 points: 1 point for the method, 2 points for shown work, 1 point for the answer) The Leaning Tower of Niles 5. The Leaning Tower of Niles, in Illinois, is a replica of the famous Leaning Tower of Pisa. It was completed in 1934. The Tower of Niles is 94 feet high and has a lean (the distance from the base of the tower to the point that is aligned vertically with the top of the tower) of 7.4 feet. What angle does the Tower of Niles make with the ground? How far would an ant have to walk to make it from the ground to the top of the tower? (5 points: 3 points for the angle, 2 points for the distance) Copyright 2015 Apex Learning Inc. Use of this material is subject to Apex Learning's Terms of Use . Any unauthorized copying, reuse, or redistribution is prohibited. Apex Learning and the Apex Learning Logo are registered trademarks of Apex Learning Inc