Geometry – Unit 5 HW Answer Key Section 5.1 1. 3 233 ≈ 45.79 2. 7 ≈ 2.65 3. 10 61 ≈ 78.10 4. 20 194 ≈ 278.57 5. 365 ≈ 19.10 6. 2 21 ≈ 9.17 7. 51 ≈ 7.14 8. 4 7 ≈ 10.58 9. 2 65 ≈ 16.12 10. 18 2 ≈ 25.46 11. 4 5 ≈ 8.94 12. 149 ≈ 12.21 13. 6 3 ≈ 10.39 14. 58 ≈ 7.62 15. Acute 16. Right 17. Obtuse 18. Right 19. Obtuse 20. Acute 21. 11.62 feet 22. 9 feet 23. 30 inches Section 5.2 1. x=2, y= 3 2. a=9/2, b= ! ! ! 3. c= !" ! ! , d= !" ! ! 4. x=8 2 5. p=4 3 , q=4 3 , s=4 6 6. y=14 2 7. x= !" ! ! ; short side= !" ! ! 8. z=2 9. x=15, y=15 3 10. s=3 2 11. w= !" ! ! , x=5, y=5 2 , z= ! ! ! 12. a=4, b=3 Section 5.3 1. sinP= ! !" ! , cosP= ! ! , tanP= ! !" ! sinQ= ! ! , cosQ= ! !" ! , tanQ= ! !" !" 2. sinP = ! ! , cosP= ! ! , tanP= ! ! sinQ= ! ! , cosQ= ! ! , tanQ= ! ! 3. sinP= !" !" , cosP= ! !" , tanP= !" ! sinQ= ! !" , cosQ= !" !" , tanQ= ! !" 4. sinP= !! ! , cosP= ! ! , tanP= !! ! sinQ= ! ! , cosQ= !! ! , tanQ= ! !! !! 5. sinP= ! ! , cosP= ! ! , tanP=1 sinQ= ! ! , cosQ= ! ! , tanQ=1 6. sinP= !" !" , cosP= ! !" , tanP= !" ! sinQ= !" !" , cosQ= ! !" , tanQ= ! !" 7. 63.61 8. 11.03 9. 7.04 10. 38.66 11. 41.81 12. 7.83 13. 67.62 14. 53.13 15. 26.57 16. 71.57 17. 6.58 18. 36.87 19. 53.97 20. 11.02 21. 56.44 22. 11.47 23. 9.83 24. 36.66 25. 3.50 26. 2.26 27. 6.38 Section 5.4 1. ∠1=depression from bird to ship ∠2=elevation from ship to bird ∠3=depression from ship to sub ∠4=elevation from sub to ship 2. ∠1=depression from plan to man ∠2=elevation from man to plane ∠3=depression from man to boat ∠4=elevation from boat to man 3. 116.58 4. 84.80 5. 46.67 6. 31.24 7. 127.80 8. 323.56 9. 32.01 10. 69.74 11. 49.42 12. 20.75 13. 41.96 14. 91.79

Geo Unit 5 HW Answer KEY...Geometry – Unit 5 HW Answer Key Section5.1! 1. 3233≈45.79! 2. 7≈2.65! 3. 1061≈78.10! 4. 20194≈278.57! 5. 365≈19.10! 6. 221≈9.17! 7. 51≈7.14!

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Geometry – Unit 5 HW Answer Key Section 5.1

1. 3 233 ≈ 45.79 2. 7 ≈ 2.65 3. 10 61 ≈ 78.10 4. 20 194 ≈ 278.57 5. 365 ≈ 19.10 6. 2 21 ≈ 9.17 7. 51 ≈ 7.14 8. 4 7 ≈ 10.58

9. 2 65 ≈ 16.12 10. 18 2 ≈ 25.46 11. 4 5 ≈ 8.94 12. 149 ≈ 12.21 13. 6 3 ≈ 10.39 14. 58 ≈ 7.62 15. Acute 16. Right

17. Obtuse 18. Right 19. Obtuse 20. Acute 21. 11.62 feet 22. 9 feet 23. 30 inches

Section 5.2

1. x=2, y= 3 2. a=9/2, b=! !

3. c=!" !!, d=!" !

4. x=8 2 5. p=4 3, q=4 3, s=4 6 6. y=14 2

7. x=!" !!; short side= !" !

8. z=2 9. x=15, y=15 3 10. s=3 2 11. w=!" !

!, x=5, y=5 2, z=! !

12. a=4, b=3 Section 5.3

1. sinP=! !"!, cosP=!

!, tanP=! !"

sinQ=!!, cosQ=! !"

!, tanQ=! !"

2. sinP =!!, cosP=!

!, tanP=!

sinQ=!!, cosQ=!

!, tanQ=!

3. sinP=!"!", cosP= !

!", tanP=!"

sinQ= !!", cosQ=!"

!", tanQ= !

4. sinP= !!!, cosP=!

!, tanP= !!

sinQ=!!, cosQ= !!

!, tanQ=! !!

5. sinP= !!, cosP= !

!, tanP=1

sinQ= !!, cosQ= !

!, tanQ=1

6. sinP=!"!", cosP= !

!", tanP=!"

sinQ=!"!", cosQ= !

!", tanQ= !

7. 63.61 8. 11.03 9. 7.04

10. 38.66 11. 41.81 12. 7.83

13. 67.62 14. 53.13 15. 26.57

16. 71.57 17. 6.58 18. 36.87

19. 53.97 20. 11.02 21. 56.44

22. 11.47 23. 9.83 24. 36.66

25. 3.50 26. 2.26 27. 6.38

Section 5.4

1. ∠1=depression from bird to ship ∠2=elevation from ship to bird ∠3=depression from ship to sub ∠4=elevation from sub to ship

2. ∠1=depression from plan to man ∠2=elevation from man to plane ∠3=depression from man to boat ∠4=elevation from boat to man

3. 116.58 4. 84.80

5. 46.67 6. 31.24 7. 127.80 8. 323.56 9. 32.01 10. 69.74 11. 49.42 12. 20.75 13. 41.96 14. 91.79

Page 2: Geo Unit 5 HW Answer KEY...Geometry – Unit 5 HW Answer Key Section5.1! 1. 3233≈45.79! 2. 7≈2.65! 3. 1061≈78.10! 4. 20194≈278.57! 5. 365≈19.10! 6. 221≈9.17! 7. 51≈7.14!

Geometry – Unit 5 HW Answer Key Section 5.5

1. (45.96, 45.96) 2. (-‐38.06, -‐19.72) 3. (89.18, 80.30) 4. θ=31.22°, m=38.59

5. θ=41.99°, m=134.54 6. θ=38.66°, m=1.28 7. 55° N of E 8. 20° W of S

9. 33° W of N 10. <2, 5> 11. <1, -‐1> 12. <-‐7, -‐1>

Unit 5 Review

1. x=15, y=15 2 2. x=5 3, y=10 3. x=10, y=5 5 4. x=13, y=3 3 5. x=!! !

!, y=11/2

6. x=45°, y=6 2 7. 21/29 8. 20/29 9. 21/20 10. 20/29 11. 21/29 12. 20/21 13. x=32.58, angle=57.42, side=2 30 14. x=26.96, angle=26, side=13.15

15. x=16.91, angle=20, side=6.16 16. ∠X=43.76, ∠Z=46.24, side= 155 17. obtuse 18. right 19. acute 20. 21. 22. 2 5 23. 17 24. <1,4> 25. <4,10> 33. 157.22 34. 65.9°