Mathematics
Grade 7
15 min
Similar figures and indirect measurement
Similar figures and indirect measurement
Tutorial Preview
1
A 6 ft person casts a 4 ft shadow. A nearby flagpole casts a 12 ft shadow. How tall is the flagpole?
2
Two similar triangles are nested. The large triangle has a base of 10 and height of 8. The small one has a base of 5. Find its height, x.
3
A map scale is 1 inch = 50 miles. Two cities are 3 inches apart on the map. What is the actual distance?
Sample Practice Questions
Easy
A 5 ft tall boy casts a 2 ft shadow. A nearby tree casts a 10 ft shadow. How tall is the tree?
0.20 ft
1.25 ft
2.15 ft
3.30 ft
Easy
On a map, 1 cm = 10 km. Two towns are 4 cm apart. What is the actual distance?
0.40 km
1.20 km
2.10 km
3.4 km
Easy
A large triangle has base 6 and height 4. A similar small triangle has base 3. Find its height.
0.1
1.2
2.3
3.4
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