APPENDIX H
ANSWERS TO SELECTED PROBLEMS

Note: Only partial answers are given to many of the problems to provide the reader with a check of their work.

Chapter 1

1.6(c) Systematic
1.10(c) Systematic
1.12(a) Instrumental
1.13 0.003 m

Chapter 2

2.2(d) 186.498
2.4(a) 8.3
2.6(c) 0.2084

Chapter 3

3.1 1.28155
3.7 0.28; 1.027, 3.885
3.13(a) ± 0.022
3.14 (25.6986, 28.3514)

Chapter 4

4.2(a) images
4.3(a) images
4.4(a) images
4.5(a) images
4.8(a) 102.159 < μ < 102.164
4.14 1.988 < σ2 < 20.049
4.18(a) images

Chapter 5

5.8(a) Two-tailed test
5.11(a) Fail to reject H0.
5.13(a) Fail to reject H0.

Chapter 6

6.1 ±9.7 mm
6.5 2484.011 ± 0.015 m
6.9 V = 38,300 ± 100 ft3
6.13 70,200 ± 100 ft3

Chapter 7

7.4 ±0.012 ft
7.9 ±12.0″
7.13 Yes, estimated misclosure ±45.1″

Chapter 8

8.1(a) Direct
8.3 Latitude = 96.64 ± 0.012 ft
8.8 σ = ±5.8″; σ95% = ±73.9″
8.12(b) ±0.015 ft
8.14(b) ±0.021 ft
8.20(d) ±0.041 ft

Chapter 9

9.1 −5.98 ft
9.3 −283.93 ft
9.5 0.36 ft
9.8 ±0.4 mm
9.13 29.34 ft

Chapter 10

10.1 56°14′47.5″ ± 0.4″
10.2 ±1.7″
10.6 ±0.025
10.9(a) 15.086 m

Chapter 11

11.1 A = 2.17; B = 0.64
11.6 ν1 = 0.043
11.7 x = 2.00; y 0.51
11.12 1 = 114°23′00.2″

Chapter 12

12.1 X = 105.69
12.2 S0 = ±0.009
12.8 15 + 00 = 758.12, S0 = ±0.016

Chapter 13

13.1(a) ±0.91
13.2(a) Fail to reject H0 so you can use S2 = 1 to compute statistics.
13.3 Sx = ±0.006
13.9 S1 = ±0.006

Chapter 14

14.1 x = 4231.59
14.2(b) ±0.971
14.3(a) xc = 11,448.89 ± 0.014, yc = 10,388.25 ± 0.030
14.7(a) xE = 7665.344 ± 0.009

Chapter 15

15.1 X = 9920.87, Y = 11,295.26
15.4 X = 5105.93 ± 0.152
15.5(b) S0 = ±1.8
15.8(a) XB = 176.74 ± 0.057

Chapter 16

16.1(b) X = 3127.22 ± 0.014
16.2(a) ±1.33
16.4(b) X = 7816.522 ± 0.0091

Chapter 17

17.1(a) X = 933,597.220 m, Y = −4,847,253.121 m, Z = 4,025,830.514 m
17.2(a) φ = 48°06′12.04369″ N, λ = 122°08′08.28458″ W, h = 13.407 m
17.3(a) B : (358046.504, −4628822.827, 4359249.118)
17.3(c) S0 = ±1.08
17.4(a) ΔX = 0.51 ppm
17.5(a) B : (−1732183.349, −4618647.415, 4033514.424)
17.13(a) ΔX = 5.94 ppm

Chapter 18

18.1(a) a = 0.92012 ± 0.0000081; b = −0.39175 ± 0.0000083
18.1(c) θ = 336°56′15.1″; Scale = 1.00005
18.5(a) a1 = 0.21110 ± 0.00012; b1 = −0.17658 ± 0.00006
18.7(a) a = 0.06030 ± 0.15101; Tx = 3.914 ± 42.908
18.8 Projective transformation

Chapter 19

19.1 t = 69.08256°; Su = ±0.41
19.2 Su = ±2.52
19.6 Su = ±1.22
19.22 Su = ±0.054
19.27(a) 37%

Chapter 20

20.1 xB = 30,433.560; yB = 39,803.631
20.7 ElevD = 129.020 m
20.10(a) AB = 100.010; BC = 100.000
20.13 Sx = Sy = ±0.0176

Chapter 21

21.1 See Section 21.2.
21.10 No observations are detected as having a blunder.
21.16 ±0.17 ft

Chapter 22

22.1 b = 1199.996 ft and m = 1.70320548
22.4(a) a = 0.9201215; b = −0.3917527
22.4(c) Scale = 1.0004692; θ = 336°56′15″
22.6(a) a = 0.9201326; b = 0.391752
22.8 Affine transformation

Chapter 23

23.1 458.794 m
23.3 13°56′27.2″
23.5 203°58′06.1″
23.7 −2°36′09.6″
23.9 0.49570deA − 0.86768dnA + 0.03754duA − 0.49573deC + 0.86767dnC − 0.03750duC = −0.00825
23.11 108.43156dnB − 436.78988deB + 0.00003duB + 609.99716dnA + 847.21603deA
0.00000duA − 718.40986dnC − 410.40641deC + 0.00005duC = −7.97″
23.30 3.7″

Chapter 24

24.2 Read Section 24.1, paragraph 2.
24.5 Read Section 24.1, paragraph 5.
24.6 XYZ = (1160652.638, −4655694.644, 4188424.104)
24.18 (7612.03, 7608.49, 242.38)

Chapter 25

25.3 No
25.12 6.87 mm
25.14 Yes
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