1.

*DE*= 32,

*EF*= 16sqrt(3).

2.

*TU*= 16,

*US*= 8sqrt(3),

*SK*= 8,

*TK*= 8sqrt(2).

3. 3/4

4. 3/5

5. 0.309

6. 0.625

7. 1/2

8. sqrt(3) (Some people may consider this question unfair, since the above question and both corresponding questions on the practice had rational answers, leading students to believe that they can just use a calculator to find the exact value rather than use 30-60-90 triangles.)

9-10. These are vectors that I can't reproduce easily here.

11.

*BC*/

*AC*(or

*a*/

*b*, if the students learned it that way).

12.

*AB*and

*AD*

13.

*ACD*and

*CBD*

14. This is a vector that I can't reproduce easily here.

15. (9, 6)

16. 115 feet, to the nearest foot.

17. (1, 4)

18. (3, -3)

19. (3, 2). (I hope students don't get confused here and solve these three backwards!)

20. This is a vector that I can't reproduce easily here.

Thus concludes Chapter 14. Stay tuned -- we're jumping back to Chapter 8 on Area next week!

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