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