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Word problems for Applications of Proportions
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. A building is 5.7 feet tall and is casting a shadow 16.5 feet long. At the same time, a nearby pole
casts a shadow 82.5 feet long. Find the height of the pole . a. 30.5 c. 26.5
b. 28.5 d. 5.7
____ 2. A tree is 3.8 feet tall and is casting a shadow 13.2 feet long. At the same time, a nearby pole casts
a shadow 52.8 feet long. Find the height of the pole . a. 17.2 c. 3.8
b. 13.2 d. 15.2
____ 3. A building is 5.3 feet tall and is casting a shadow 5.5 feet long. At the same time, a nearby person casts a shadow 11 feet long. Find the height of the person . a. 10.6 c. 5.3
b. 8.6 d. 12.6
____ 4. A building is 4.8 feet tall and is casting a shadow 8.6 feet long. At the same time, a nearby pole
casts a shadow 43 feet long. Find the height of the pole . a. 4.8 c. 22
b. 26 d. 24
____ 5. A pole is 7.6 feet tall and is casting a shadow 16.3 feet long. At the same time, a nearby building
casts a shadow 32.6 feet long. Find the height of the building . a. 17.2 c. 7.6
b. 13.2 d. 15.2
____ 6. A person is 5.4 feet tall and is casting a shadow 10.6 feet long. At the same time, a nearby building
casts a shadow 42.4 feet long. Find the height of the building . a. 19.6 c. 5.4
b. 23.6 d. 21.6
____ 7. A person is 3.8 feet tall and is casting a shadow 12.1 feet long. At the same time, a nearby tree
casts a shadow 36.3 feet long. Find the height of the tree . a. 3.8 c. 13.4
b. 9.4 d. 11.4
____ 8. A pole is 7.3 feet tall and is casting a shadow 17.4 feet long. At the same time, a nearby tree casts
a shadow 87 feet long. Find the height of the tree . a. 38.5 c. 36.5
b. 7.3 d. 34.5
____ 9. A pole is 5.3 feet tall and is casting a shadow 6.6 feet long. At the same time, a nearby person
casts a shadow 19.8 feet long. Find the height of the person . a. 15.9 c. 13.9
b. 5.3 d. 17.9
____ 10. A person is 6.4 feet tall and is casting a shadow 9.3 feet long. At the same time, a nearby pole casts a shadow 46.5 feet long. Find the height of the pole .
a. 6.4 c. 34
b. 32 d. 30
____ 11. A building is 7.2 feet tall and is casting a shadow 15.2 feet long. At the same time, a nearby person
casts a shadow 30.4 feet long. Find the height of the person . a. 14.4 c. 16.4
b. 7.2 d. 12.4
____ 12. A person is 7.7 feet tall and is casting a shadow 18.2 feet long. At the same time, a nearby tree
casts a shadow 54.6 feet long. Find the height of the tree . a. 7.7 c. 23.1
b. 25.1 d. 21.1
____ 13. A tree is 7.5 feet tall and is casting a shadow 18.6 feet long. At the same time, a nearby pole casts
a shadow 93 feet long. Find the height of the pole . a. 37.5 c. 35.5
b. 39.5 d. 7.5
____ 14. A tree is 3.1 feet tall and is casting a shadow 11.5 feet long. At the same time, a nearby person casts a shadow 57.5 feet long. Find the height of the person . a. 17.5 c. 13.5
b. 15.5 d. 3.1
____ 15. A pole is 5.2 feet tall and is casting a shadow 13.3 feet long. At the same time, a nearby building
casts a shadow 53.2 feet long. Find the height of the building . a. 22.8 c. 5.2
b. 20.8 d. 18.8
____ 16. A building is 7.8 feet tall and is casting a shadow 16.3 feet long. At the same time, a nearby person
casts a shadow 32.6 feet long. Find the height of the person . a. 13.6 c. 15.6
b. 17.6 d. 7.8
____ 17. A person is 3.9 feet tall and is casting a shadow 10.2 feet long. At the same time, a nearby tree casts a shadow 51 feet long. Find the height of the tree . a. 17.5 c. 3.9
b. 19.5 d. 21.5
____ 18. A tree is 3.1 feet tall and is casting a shadow 16.2 feet long. At the same time, a nearby pole casts
a shadow 48.6 feet long. Find the height of the pole . a. 11.3 c. 3.1
b. 9.3 d. 7.3
____ 19. A person is 7.4 feet tall and is casting a shadow 18.3 feet long. At the same time, a nearby building
casts a shadow 54.9 feet long. Find the height of the building . a. 24.2 c. 20.2
b. 7.4 d. 22.2
____ 20. A person is 5.2 feet tall and is casting a shadow 18.5 feet long. At the same time, a nearby building
casts a shadow 74 feet long. Find the height of the building . a. 20.8 c. 22.8
b. 5.2 d. 18.8
____ 21. A pole is 7.5 feet tall and is casting a shadow 10.7 feet long. At the same time, a nearby tree casts
a shadow 32.1 feet long. Find the height of the tree . a. 20.5 c. 7.5
b. 22.5 d. 24.5
____ 22. A person is 4.5 feet tall and is casting a shadow 18.4 feet long. At the same time, a nearby pole
casts a shadow 36.8 feet long. Find the height of the pole . a. 4.5 c. 11
b. 7 d. 9
____ 23. A building is 5.6 feet tall and is casting a shadow 12.1 feet long. At the same time, a nearby person
casts a shadow 24.2 feet long. Find the height of the person . a. 9.2 c. 13.2
b. 5.6 d. 11.2
____ 24. A tree is 7.6 feet tall and is casting a shadow 17.2 feet long. At the same time, a nearby building
casts a shadow 68.8 feet long. Find the height of the building . a. 32.4 c. 28.4
b. 30.4 d. 7.6
____ 25. A building is 5.2 feet tall and is casting a shadow 18.7 feet long. At the same time, a nearby tree
casts a shadow 74.8 feet long. Find the height of the tree . a. 18.8 c. 5.2
b. 22.8 d. 20.8
____ 26. A tree is 6.7 feet tall and is casting a shadow 12.3 feet long. At the same time, a nearby pole casts
a shadow 36.9 feet long. Find the height of the pole . a. 18.1 c. 6.7
b. 22.1 d. 20.1
____ 27. A pole is 6.3 feet tall and is casting a shadow 15.8 feet long. At the same time, a nearby person
casts a shadow 79 feet long. Find the height of the person . a. 31.5 c. 29.5
b. 33.5 d. 6.3
____ 28. A building is 5.1 feet tall and is casting a shadow 16.1 feet long. At the same time, a nearby person
casts a shadow 32.2 feet long. Find the height of the person . a. 8.2 c. 12.2
b. 10.2 d. 5.1
____ 29. A pole is 7.9 feet tall and is casting a shadow 6.1 feet long. At the same time, a nearby building casts a shadow 12.2 feet long. Find the height of the building . a. 17.8 c. 7.9
b. 13.8 d. 15.8
____ 30. A building is 4.1 feet tall and is casting a shadow 15.4 feet long. At the same time, a nearby tree
casts a shadow 46.2 feet long. Find the height of the tree . a. 12.3 c. 14.3
b. 10.3 d. 4.1
____ 31. A building is 7.2 feet tall and is casting a shadow 6.9 feet long. At the same time, a nearby tree
casts a shadow 20.7 feet long. Find the height of the tree . a. 19.6 c. 7.2
b. 23.6 d. 21.6
____ 32. A pole is 7.4 feet tall and is casting a shadow 10.7 feet long. At the same time, a nearby tree casts
a shadow 42.8 feet long. Find the height of the tree . a. 27.6 c. 29.6
b. 31.6 d. 7.4
____ 33. A pole is 7.3 feet tall and is casting a shadow 8.3 feet long. At the same time, a nearby tree casts a
shadow 41.5 feet long. Find the height of the tree . a. 36.5 c. 34.5
b. 38.5 d. 7.3
____ 34. A tree is 6.7 feet tall and is casting a shadow 7.9 feet long. At the same time, a nearby building
casts a shadow 15.8 feet long. Find the height of the building . a. 6.7 c. 15.4
b. 13.4 d. 11.4
Word problems for Applications of Proportions
Answer Section
MULTIPLE CHOICE
1. ANS: B PTS: 1
2. ANS: D PTS: 1
3. ANS: A PTS: 1
4. ANS: D PTS: 1
5. ANS: D PTS: 1
6. ANS: D PTS: 1
7. ANS: D PTS: 1
8. ANS: C PTS: 1
9. ANS: A PTS: 1
10. ANS: B PTS: 1
11. ANS: A PTS: 1
12. ANS: C PTS: 1
13. ANS: A PTS: 1
14. ANS: B PTS: 1
15. ANS: B PTS: 1
16. ANS: C PTS: 1
17. ANS: B PTS: 1
18. ANS: B PTS: 1
19. ANS: D PTS: 1
20. ANS: A PTS: 1
21. ANS: B PTS: 1
22. ANS: D PTS: 1
23. ANS: D PTS: 1
24. ANS: B PTS: 1
25. ANS: D PTS: 1
26. ANS: D PTS: 1
27. ANS: A PTS: 1
28. ANS: B PTS: 1
29. ANS: D PTS: 1
30. ANS: A PTS: 1
31. ANS: D PTS: 1
32. ANS: C PTS: 1
33. ANS: A PTS: 1
34. ANS: B PTS: 1
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