Chapter 8 Test Review Solutions

1. =6

30

x

x

=

= =

2 180

180 6 5

x

x

2. =4

36

x

x

=

=

2 144

12

x

x

3. 8

12

x

x= (“rainbow”)

2 96

96 4 6

x

x

=

= =

4. 8

20

y

y= (“horn”)

2 160

160 4 10

y

y

=

= =

5. 16 8

sin34 17

Y = =

6. 16 8

cos34 17

X = =

7. 16 8

tan30 15

Y = =

8. cos 2012

x° =

12cos20 11.3x = ° ≈

9. 13

sin24

x° =

1 13sin 33

24x −

= ≈ °

10. 9

sin42x

° =

9

13.5sin42

x = š

11. 10

tan7

x° =

1 10tan 55

7x −

= ≈ °

12. sin2815

x° =

15sin28 7.0x = ° ≈

13. m 90 24 66B∠ = − = °

14. 17

cos 24AB

° =

17

18.6cos24

AB = š

15. tan2417

BC° =

17 tan24 7.6BC = ° ≈

16. 2 212 7.4 9.4EF = − ≈

17. 7.4

cos12

D =

1 7.4cos 52

12D −

= ≈ °

18. m 90 52 38E∠ = − = °

19. cos3750

x° =

50cos37

40 ft.

x = °

≈

20. sin25280

x° =

5280sin2

184 ft.

x = °

≈

21. 90

tan10x

° =

90

tan10

510 ft

x =°

≈

50 ft

37°

x

22. tan2530

x° =

30 tan25

14 m

x = °

≈

23. cos1512

x° =

12cos15

11.6 m

x = °

≈

24. (straight line distance)

4500sin56

4500

sin56

5428 m

x

x

° =

=°

≈

25. 22

sin67.7

x =

1 22

sin67.7

19

x − =

≈ °

26. 152

tan34x

° =

152

tan34

225 ft

x =°

=

27. 8

sin27 sin104

x=

° °

sin104 8sin27

8sin27

sin104

3.7

x

x

° = °

°=

°

≈

28. ( ) ( )2 26 9 2 6 9 cos56BC = + − °

7.5≈

29. ( ) ( )2 287 92 2 87 92 cos112x = + − °

148 ft≈

30 m

25°

x

15°

x 12 m

112° 92 ft

x

87 ft