A model of a lighthouse has diameter 8 inches and height 18 inches. If the actual diameter of the lighthouse is 20 feet, find its actual height.
Geometry Ratios and Proportions

Quiz
•
Mathematics
•
10th Grade
•
Hard
Anthony Clark
FREE Resource
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
30 ft
35 ft
45 ft
50 ft
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A scale drawing of a billboard uses the scale 4 cm:9 ft. The length of the billboard in the drawing is 11 cm. How long is the actual billboard?
13 ft
20.75 ft
24.75 ft
22 ft
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A triangle’s angle measures are in the extended ratio of 2 : 4 : 9. Find the measures of the angles.
20o, 40o, 90o
24o, 48o, 108o
24o, 32o, 124o
20o, 40o, 100o
Answer explanation
Using the ratio
first angle = 2x°
2nd angle = 4x°
3rd angle = 9x°
Using triangle sum theorem find the value of x
2x + 4x + 9x = 180
once you have the value of x sub in for the angle expressions.
4.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Answer explanation
Use cross products
4(n + 9) = 8n now solve for n.
5.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Answer explanation
Use Cross Products
4(n + 2) = 5(n - 1) solve for n
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is it called when you set two ratios equal to each other?
Proportion
Fraction
Ratio
Congruent
7.
DROPDOWN QUESTION
1 min • 1 pt
The ratio of the sides of a rectangle is 3 to 5.
If the perimeter of the figure is 80 inches,
the shorter side is (a) inches and the longer side is (b) inches
15
25
30
50
12
28
Answer explanation
Draw a rectangle and label the shorter side 3x and the longer side 5x.
Use perimeter equal to 80.
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