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