Basic Technical Mathematics, 11th Edition

Exercises 2.2, page 63

1. 1. $65\hspace{0.17em}°\hspace{0.17em}$

2. 3. 7.02 m

3. 5. $56\hspace{0.17em}°\hspace{0.17em}$

4. 7. $48\hspace{0.17em}°\hspace{0.17em}$

5. 9. ${\mathrm{6.9 ft}}^2$

6. 11. ${\mathrm{38,400 cm}}^2$

7. 13. ${\mathrm{4.41 ft}}^2$

8. 15. ${\mathrm{0.390 m}}^2$

9. 17. 976 cm

10. 19. 64.5 cm

11. 21. 5 in.

12. 23. 26.6 ft

13. 25. 522 cm

14. 27. $67\hspace{0.17em}°\hspace{0.17em}$

15. 29. 227.2 cm

16. 31. $45\hspace{0.17em}°\hspace{0.17em}\hspace{0.17em},\hspace{0.17em}135\hspace{0.17em}°\hspace{0.17em}$

17. 33. Equilateral triangle

18. 35. All three triangles are similar.

19. 37. $\hspace{0.17em}\angle \hspace{0.17em}K\hspace{0.17em}=\hspace{0.17em}\hspace{0.17em}\angle \hspace{0.17em}N\hspace{0.17em}=\hspace{0.17em}90\hspace{0.17em}°\hspace{0.17em}\hspace{0.17em};\hspace{0.17em}\hspace{0.17em}\angle \hspace{0.17em}LMK\hspace{0.17em}=\hspace{0.17em}\hspace{0.17em}\angle \hspace{0.17em}OMN\hspace{0.17em};\hspace{0.17em}$

    $\hspace{0.17em}\angle \hspace{0.17em}KLM\hspace{0.17em}=\hspace{0.17em}\hspace{0.17em}\angle \hspace{0.17em}NOM\hspace{0.17em};\hspace{0.17em}\mathrm{\Delta }MKL\hspace{0.17em}~\hspace{0.17em}\mathrm{\Delta }MNO$

20. 39. 8

21. 41. Yes

22. 43. $65\hspace{0.17em}°\hspace{0.17em}$

23. 45. 7.2 ft

24. 47. ${\mathrm{60 ft}}^2$

25. 49. 12.1 ft

26. 51. 23 ft

27. 53. 7.5 m, 9.0 m

28. 55. 9.6 ft

29. 57. 20.0 mi