Splash Screen. Over Lesson 6–5 5-Minute Check 1 STATUES The statue of Zeus at Olympia is one of...
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Transcript of Splash Screen. Over Lesson 6–5 5-Minute Check 1 STATUES The statue of Zeus at Olympia is one of...
Over Lesson 6–5
STATUES The statue of Zeus at Olympia is one of the Seven Wonders of the World. On a scale model of the statue, the height of Zeus is 8 inches. If the actual height of the statue is 40 feet, what is the scale?
Over Lesson 6-6
You have already written and solved proportions. (Lesson 6–5)
• Use scale drawings.
• Construct scale drawings.
• scale factor – the ratio of a length on a scale drawing or model to the corresponding length on the real object in the same unit of measure
• Example: A scale model has a scale of 1 inch = 2 feet.
Find Actual Measurements
MAP A map has a scale of 1 inch = 8 miles. Two towns are 3.25 inches apart on the map. What is the actual distance between the two towns?
Method 1 Use a proportion.
Let x represent the actual distance between the two towns. Write and solve a proportion.
map distance →
actual distance →
← map distance
← actual distance
Answer: The actual distance between the two towns is 26 miles.
Find the cross products.
Simplify.
A. 1.45 feet
B. 48 feet
C. 11 feet
D. 6.88 feet
SCALE DRAWING A scale drawing of a new house has a scale of 1 inch = 4 feet. The height of the living room ceiling is 2.75 inches on the scale drawing. What is the actual height of the ceiling?
a. Living roomb. Closet
a. Living room Scale: 1 inch = 24 feet
Find the length:
l = 15 feet
Find the width:
w = 18 feet
Answer: 15 ft by 18 ft
b. closet Scale: 1 inch = 24 feet
Find the length:
l = 6 feet
Find the width:
w = 12 feetAnswer: 6 ft by 12 ft
a. Master Bedroom: 12 feet by 15 feet
Scale: 1 inch = 24 feet
Find the length:
1 • 12 = 24 • l
Find the width:
a. Master Bedroom: 12 feet by 15 feet
12 = 24l 24 24
15 = 24w 24 24