EXAMPLE 4 Use a scale drawing Maps

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EXAMPLE 4 Use a scale drawing Maps The scale of the map at the right is 1 inch : 26 miles. Find the actual distance from Pocahontas to Algona. SOLUTION Use a ruler. The distance from Pocahontas to Algona on the map is about 1.25 inches. Let x be the actual distance in miles.

The actual distance from Pocahontas to Algona is about 32.5 miles. EXAMPLE 4 Use a scale drawing 1.25 in. x mi 26 mi 1 in. = distance on map actual distance = 1.25 (26) x Cross Products Property x = 32.5 Simplify. The actual distance from Pocahontas to Algona is about 32.5 miles.

EXAMPLE 5 Solve a multi-step problem Scale Model You buy a 3-D scale model of the Reunion Tower in Dallas, TX. The actual building is 560 feet tall. Your model is 10 inches tall, and the diameter of the dome on your scale model is about 2.1 inches. What is the diameter of the actual dome? a. b. About how many times as tall as your model is the actual building?

Solve a multi-step problem EXAMPLE 5 Solve a multi-step problem SOLUTION 10 in. 560 ft x ft 2.1 in. = a. measurement on model measurement on actual building = 1176 10 x Cross Products Property x = 117.6 Solve for x. The diameter of the actual dome is about 118 feet. ANSWER

EXAMPLE 5 Solve a multi-step problem b. To simplify a ratio with unlike units, multiply by a conversion factor. 560 ft 10 in. 1 ft 12 in. 560 ft 10 in. = = 672 The actual building is 672 times as tall as the model. ANSWER

GUIDED PRACTICE for Examples 4 and 5 4. Two cities are 96 miles from each other. The cities are 4 inches apart on a map. Find the scale of the map. ANSWER 1 in : 24 mi 5. What If ? Your friend has a model of the Reunion Tower that is 14 inches tall. What is the diameter of the dome on your friend’s model? ANSWER About 2.95 in.