Scale Drawings & Scale Factor
1.) Anna is a sales person who has jobs this week in cities within North Carolina and South Carolina. On a map, these two cities are 50 centimeters apart. The map uses a scale of 2 centimeters = 4 kilometers. What is the actual distance between these cities? 50 kilometers 100 kilometers 150 kilometers 200 kiometers 2.) Using a scale factor 1cm = 8m, if an actual tree is 24 meters tall, how tall would it be on a drawing? On a drawing, the tree would be 3 cm. 3.) A six-foot-tall person is standing next to a flagpole. The person is casting a shadow 1.5 feet in length, while the flagpole is casting a shadow 5 feet in length. How tall is the flagpole? 15 ft 20 ft 25 ft 30 ft 4.) On a road map, the distance from Atlanta to Chicago is 23.5 inches. What is the actual distance between the cities if the map scale is 1⁄2 inches = 20 miles? 940 miles 470 miles 235 miles Finding a scale example: 5.) A 12-foot wall measures 2.5 inches on a scale drawing. What is the scale? 2.5 in = 12 ft 1 in = 4.8 ft 1 ft = 4.8 in 1 in = 12 ft 6.) In a scale drawing, the length of a rectangular room is 6 inches, and the width is 3 inches. The actual length of the room is 18 feet. What is the scale? The scale is 1 in = 3 ft