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Algebra and Trigonometry, 2015a

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772 CHAPTER 10 FURTHER APPLICATIONS OF TRIGONOMETRY<br />

EXTENSIONS<br />

50. Find the radius of the circle in Figure 18. Round to<br />

the nearest tenth.<br />

51. Find the diameter of the circle in Figure 19. Round<br />

to the nearest tenth.<br />

8.3<br />

145° 3<br />

110°<br />

Figure 18<br />

Figure 19<br />

52. Find m ∠ADC in Figure 20. Round to the nearest<br />

tenth.<br />

A<br />

53. Find AD in Figure 21. Round to the nearest tenth.<br />

A<br />

8<br />

10<br />

9<br />

60°<br />

B C D<br />

Figure 20<br />

B<br />

12<br />

53°<br />

Figure 21<br />

13<br />

C<br />

44°<br />

D<br />

54. Solve both triangles in Figure 22. Round each<br />

answer to the nearest tenth.<br />

A<br />

48°<br />

4.2<br />

55. Find AB in the parallelogram shown in Figure 23.<br />

A B<br />

130°<br />

12<br />

10<br />

46°<br />

E<br />

C<br />

130°<br />

B<br />

48° 2<br />

C<br />

D<br />

D<br />

Figure 23<br />

Figure 22<br />

56. Solve the triangle in Figure 24. (Hint: Draw a<br />

perpendicular from H to JK). Round each answer to<br />

the nearest tenth.<br />

H<br />

57. Solve the triangle in Figure 25. (Hint: Draw a<br />

perpendicular from N to LM). Round each answer<br />

to the nearest tenth.<br />

L<br />

7<br />

J<br />

20°<br />

10<br />

Figure 24<br />

K<br />

5<br />

74°<br />

M<br />

4.6<br />

Figure 25<br />

N

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