Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
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Chapter 11.1, Problem 30E
To determine
To express: The expression
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A: Tan Latitude / Tan P
A = Tan 04° 30'/ Tan 77° 50.3'
A= 0.016960 803 S CA named opposite to latitude,
except when hour angle between 090° and 270°)
B: Tan Declination | Sin P
B Tan 052° 42.1'/ Sin 77° 50.3'
B = 1.34 2905601 SCB is alway named same as
declination)
C = A + B = 1.35 9866404 S CC correction, A+/- B:
if A and B have same name - add, If
different name- subtract)
=
Tan Azimuth 1/Ccx cos Latitude)
Tan Azimuth = 0.737640253
Azimuth
=
S 36.4° E CAzimuth takes combined
name of C correction and Hour Angle - If LHA
is between 0° and 180°, it is named "west", if
LHA is between 180° and 360° it is named "east"
True Azimuth= 143.6°
Compass Azimuth = 145.0°
Compass Error = 1.4° West
Variation 4.0 East
Deviation: 5.4 West
A: Tan Latitude / Tan P
A = Tan 04° 30'/ Tan 77° 50.3'
A= 0.016960 803 S CA named opposite to latitude,
except when hour angle between 090° and 270°)
B: Tan Declination | Sin P
B Tan 052° 42.1'/ Sin 77° 50.3'
B = 1.34 2905601 SCB is alway named same as
declination)
C = A + B = 1.35 9866404 S CC correction, A+/- B:
if A and B have same name - add, If
different name- subtract)
=
Tan Azimuth 1/Ccx cos Latitude)
Tan Azimuth = 0.737640253
Azimuth
=
S 36.4° E CAzimuth takes combined
name of C correction and Hour Angle - If LHA
is between 0° and 180°, it is named "west", if
LHA is between 180° and 360° it is named "east"
True Azimuth= 143.6°
Compass Azimuth = 145.0°
Compass Error = 1.4° West
Variation 4.0 East
Deviation: 5.4 West
Direction: Strictly write in 4 bond paper, because my activity
sheet is have 4 spaces. This is actually for maritime.
industry course, but I think geometry can do this.
use nautical almanac.
Sample Calculation (Amplitude- Sun):
On 07th May 2006 at Sunset, a vesel in position 10°00'N
0 10°00' W observed the sun bearing 288° by compass. Find
the
compass error.
LMT Sunset
07d
18h
13m
(+)00d
00h
40 м
LIT:
UTC Sunset:
07d
18h
53 m
added - since
longitude is
westerly
Declination Co7d 18h): N016° 55.5'
d(0.7):
(+)
00-6
N016 56.1'
Declination Sun:
Sin Amplitude Sin Declination (Los Latitude
- Sin 016° 56.1'/Cos 10°00'
= 0.295780189
Amplitude = WI. 2N (The prefix of amplitude is
named easterly if body is rising.
and westerly of body is setting.
The suffix is named came as
declination.)
True Bearing: 287.20
Compass Bearing
288.0°
Compass Error: 0.8' West
Chapter 11 Solutions
Basic Technical Mathematics
Ch. 11.1 - Simplify: a(x−1y3)2
Ch. 11.1 - Simplify:
Ch. 11.1 - Prob. 3PECh. 11.1 - Simplify: (3a)−1 − 3a−2
Ch. 11.1 - Prob. 1ECh. 11.1 - Prob. 2ECh. 11.1 - Prob. 3ECh. 11.1 - Prob. 4ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...
Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 8ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 10ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 12ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 14ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 16ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 20ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 22ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 24ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 26ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 28ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 34ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 36ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 38ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 40ECh. 11.1 - Prob. 41ECh. 11.1 - Prob. 42ECh. 11.1 - Prob. 43ECh. 11.1 - Prob. 44ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 46ECh. 11.1 - Prob. 47ECh. 11.1 - Prob. 48ECh. 11.1 - Prob. 49ECh. 11.1 - Prob. 50ECh. 11.1 - Prob. 51ECh. 11.1 - Prob. 52ECh. 11.1 - Prob. 53ECh. 11.1 - Prob. 54ECh. 11.1 - Prob. 55ECh. 11.1 - Prob. 56ECh. 11.1 - Prob. 57ECh. 11.1 - Prob. 58ECh. 11.1 - Prob. 59ECh. 11.1 - Prob. 60ECh. 11.1 - Prob. 61ECh. 11.1 - Prob. 62ECh. 11.1 - Prob. 63ECh. 11.1 - Prob. 64ECh. 11.1 - Prob. 65ECh. 11.1 - Prob. 66ECh. 11.1 - Prob. 67ECh. 11.1 - Prob. 68ECh. 11.1 - Prob. 69ECh. 11.1 - Prob. 70ECh. 11.1 - Prob. 71ECh. 11.1 - Prob. 72ECh. 11.1 - Prob. 73ECh. 11.1 - Prob. 74ECh. 11.1 - Prob. 75ECh. 11.1 - Prob. 76ECh. 11.1 - Prob. 77ECh. 11.1 - Prob. 78ECh. 11.2 - Prob. 1PECh. 11.2 - Prob. 2PECh. 11.2 - Prob. 3PECh. 11.2 - Prob. 4PECh. 11.2 - Prob. 1ECh. 11.2 - Prob. 2ECh. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - Prob. 18ECh. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - Prob. 22ECh. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 27-30, use a calculator to evaluate...Ch. 11.2 - In Exercises 27-30, use a calculator to evaluate...Ch. 11.2 - In Exercises 27-30, use a calculator to evaluate...Ch. 11.2 - In Exercises 27-30, use a calculator to evaluate...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - Prob. 47ECh. 11.2 - In Exercises 31-54, simplify the given...Ch. 11.2 - Prob. 49ECh. 11.2 - Prob. 50ECh. 11.2 - Prob. 51ECh. 11.2 - Prob. 52ECh. 11.2 - Prob. 53ECh. 11.2 - Prob. 54ECh. 11.2 - Prob. 55ECh. 11.2 - Prob. 56ECh. 11.2 - Prob. 57ECh. 11.2 - Prob. 58ECh. 11.2 - Prob. 59ECh. 11.2 - Prob. 60ECh. 11.2 - Prob. 61ECh. 11.2 - Prob. 62ECh. 11.2 - Prob. 63ECh. 11.2 - Prob. 64ECh. 11.2 - Prob. 65ECh. 11.2 - Prob. 66ECh. 11.2 - Prob. 67ECh. 11.2 - Prob. 68ECh. 11.2 - Prob. 69ECh. 11.2 - Prob. 70ECh. 11.2 - Prob. 71ECh. 11.2 - Prob. 72ECh. 11.3 - Simplify:
Ch. 11.3 - Prob. 2PECh. 11.3 - Prob. 3PECh. 11.3 - Prob. 4PECh. 11.3 - Prob. 1ECh. 11.3 - Prob. 2ECh. 11.3 - Prob. 3ECh. 11.3 - Prob. 4ECh. 11.3 - Prob. 5ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 10ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 18ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 23ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 27ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 31ECh. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - Prob. 34ECh. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.3 - Prob. 38ECh. 11.3 - Prob. 39ECh. 11.3 - Prob. 40ECh. 11.3 - Prob. 41ECh. 11.3 - Prob. 42ECh. 11.3 - Prob. 43ECh. 11.3 - Prob. 44ECh. 11.3 - Prob. 45ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 47ECh. 11.3 - Prob. 48ECh. 11.3 - Prob. 49ECh. 11.3 - Prob. 50ECh. 11.3 - Prob. 51ECh. 11.3 - In Exercises 5-66, write each expression in...Ch. 11.3 - Prob. 53ECh. 11.3 - Prob. 54ECh. 11.3 - Prob. 55ECh. 11.3 - Prob. 56ECh. 11.3 - Prob. 57ECh. 11.3 - In Exercises 5-66, write each expression in...Ch. 11.3 - Prob. 59ECh. 11.3 - In Exercises 5-66, write each expression in...Ch. 11.3 - Prob. 61ECh. 11.3 - Prob. 62ECh. 11.3 - Prob. 63ECh. 11.3 - Prob. 64ECh. 11.3 - Prob. 65ECh. 11.3 - Prob. 66ECh. 11.3 - Prob. 67ECh. 11.3 - Prob. 68ECh. 11.3 - Prob. 69ECh. 11.3 - Prob. 70ECh. 11.3 - Prob. 71ECh. 11.3 - Prob. 72ECh. 11.3 - Prob. 73ECh. 11.3 - Prob. 74ECh. 11.3 - Prob. 75ECh. 11.3 - Prob. 76ECh. 11.4 - Prob. 1PECh. 11.4 - Prob. 2PECh. 11.4 - Prob. 3PECh. 11.4 - In Exercises 1 and 2, simplify the resulting...Ch. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - Prob. 13ECh. 11.4 - Prob. 14ECh. 11.4 - Prob. 15ECh. 11.4 - Prob. 16ECh. 11.4 - Prob. 17ECh. 11.4 - Prob. 18ECh. 11.4 - Prob. 19ECh. 11.4 - Prob. 20ECh. 11.4 - Prob. 21ECh. 11.4 - Prob. 22ECh. 11.4 - Prob. 23ECh. 11.4 - Prob. 24ECh. 11.4 - Prob. 25ECh. 11.4 - Prob. 26ECh. 11.4 - Prob. 27ECh. 11.4 - Prob. 28ECh. 11.4 - Prob. 29ECh. 11.4 - Prob. 30ECh. 11.4 - Prob. 31ECh. 11.4 - Prob. 32ECh. 11.4 - Prob. 33ECh. 11.4 - Prob. 34ECh. 11.4 - Prob. 35ECh. 11.4 - Prob. 36ECh. 11.4 - Prob. 37ECh. 11.4 - Prob. 38ECh. 11.4 - Prob. 39ECh. 11.4 - Prob. 40ECh. 11.4 - Prob. 41ECh. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - Prob. 44ECh. 11.4 - Prob. 45ECh. 11.4 - In Exercises 43–48, express each radical in...Ch. 11.4 - Prob. 47ECh. 11.4 - Prob. 48ECh. 11.4 - Prob. 49ECh. 11.4 - Prob. 50ECh. 11.4 - Prob. 51ECh. 11.4 - Prob. 52ECh. 11.4 - Prob. 53ECh. 11.4 - In Exercises 49–56, solve the given problems.
54....Ch. 11.4 - In Exercises 49–56, solve the given problems.
55....Ch. 11.4 - Prob. 56ECh. 11.5 - Prob. 1PECh. 11.5 - Prob. 2PECh. 11.5 - Prob. 3PECh. 11.5 - Prob. 4PECh. 11.5 - Prob. 1ECh. 11.5 - Prob. 2ECh. 11.5 - Prob. 3ECh. 11.5 - Prob. 4ECh. 11.5 - Prob. 5ECh. 11.5 - Prob. 6ECh. 11.5 - Prob. 7ECh. 11.5 - Prob. 8ECh. 11.5 - Prob. 9ECh. 11.5 - Prob. 10ECh. 11.5 - Prob. 11ECh. 11.5 - Prob. 12ECh. 11.5 - Prob. 13ECh. 11.5 - Prob. 14ECh. 11.5 - Prob. 15ECh. 11.5 - Prob. 16ECh. 11.5 - Prob. 17ECh. 11.5 - Prob. 18ECh. 11.5 - Prob. 19ECh. 11.5 - Prob. 20ECh. 11.5 - Prob. 21ECh. 11.5 - Prob. 22ECh. 11.5 - Prob. 23ECh. 11.5 - Prob. 24ECh. 11.5 - Prob. 25ECh. 11.5 - Prob. 26ECh. 11.5 - Prob. 27ECh. 11.5 - Prob. 28ECh. 11.5 - Prob. 29ECh. 11.5 - Prob. 30ECh. 11.5 - Prob. 31ECh. 11.5 - Prob. 32ECh. 11.5 - Prob. 33ECh. 11.5 - Prob. 34ECh. 11.5 - Prob. 35ECh. 11.5 - Prob. 36ECh. 11.5 - Prob. 37ECh. 11.5 - Prob. 38ECh. 11.5 - Prob. 39ECh. 11.5 - Prob. 40ECh. 11.5 - Prob. 41ECh. 11.5 - Prob. 42ECh. 11.5 - Prob. 43ECh. 11.5 - Prob. 44ECh. 11.5 - Prob. 45ECh. 11.5 - Prob. 46ECh. 11.5 - Prob. 47ECh. 11.5 - Prob. 48ECh. 11.5 - Prob. 49ECh. 11.5 - Prob. 50ECh. 11.5 - Prob. 51ECh. 11.5 - Prob. 52ECh. 11.5 - Prob. 53ECh. 11.5 - Prob. 54ECh. 11.5 - Prob. 55ECh. 11.5 - Prob. 56ECh. 11.5 - Prob. 57ECh. 11.5 - Prob. 58ECh. 11.5 - Prob. 59ECh. 11.5 - Prob. 60ECh. 11.5 - Prob. 61ECh. 11.5 - Prob. 62ECh. 11.5 - Prob. 63ECh. 11.5 - Prob. 64ECh. 11.5 - Prob. 65ECh. 11.5 - Prob. 66ECh. 11.5 - Prob. 67ECh. 11.5 - Prob. 68ECh. 11.5 - Prob. 69ECh. 11.5 - Prob. 70ECh. 11.5 - Prob. 71ECh. 11.5 - Prob. 72ECh. 11.5 - Prob. 73ECh. 11.5 - Prob. 74ECh. 11.5 - Prob. 75ECh. 11.5 - Prob. 76ECh. 11 - Prob. 1RECh. 11 - Determine each of the following as being either...Ch. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - Prob. 11RECh. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - In Exercises 7–34, express each expression in...Ch. 11 - Prob. 17RECh. 11 - Prob. 18RECh. 11 - Prob. 19RECh. 11 - Prob. 20RECh. 11 - Prob. 21RECh. 11 - Prob. 22RECh. 11 - Prob. 23RECh. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - In Exercises 7-34, express each expression in...Ch. 11 - In Exercises 7-34, express each expression in...Ch. 11 - Prob. 30RECh. 11 - Prob. 31RECh. 11 - Prob. 32RECh. 11 - Prob. 33RECh. 11 - In Exercises 7-34, express each expression in...Ch. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - Prob. 37RECh. 11 - Prob. 38RECh. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - Prob. 41RECh. 11 - Prob. 42RECh. 11 - Prob. 43RECh. 11 - Prob. 44RECh. 11 - Prob. 45RECh. 11 - Prob. 46RECh. 11 - Prob. 47RECh. 11 - Prob. 48RECh. 11 - Prob. 49RECh. 11 - Prob. 50RECh. 11 - Prob. 51RECh. 11 - Prob. 52RECh. 11 - Prob. 53RECh. 11 - Prob. 54RECh. 11 - Prob. 55RECh. 11 - Prob. 56RECh. 11 - Prob. 57RECh. 11 - Prob. 58RECh. 11 - Prob. 59RECh. 11 - Prob. 60RECh. 11 - Prob. 61RECh. 11 - Prob. 62RECh. 11 - Prob. 63RECh. 11 - Prob. 64RECh. 11 - Prob. 65RECh. 11 - Prob. 66RECh. 11 - Prob. 67RECh. 11 - Prob. 68RECh. 11 - Prob. 69RECh. 11 - Prob. 70RECh. 11 - Prob. 71RECh. 11 - Prob. 72RECh. 11 - Prob. 73RECh. 11 - Prob. 74RECh. 11 - Prob. 75RECh. 11 - Prob. 76RECh. 11 - Prob. 77RECh. 11 - Prob. 78RECh. 11 - Prob. 79RECh. 11 - Prob. 80RECh. 11 - Prob. 81RECh. 11 - Prob. 82RECh. 11 - Prob. 83RECh. 11 - Prob. 84RECh. 11 - Prob. 85RECh. 11 - Prob. 86RECh. 11 - Prob. 87RECh. 11 - Prob. 88RECh. 11 - Prob. 89RECh. 11 - Prob. 90RECh. 11 - Prob. 91RECh. 11 - Prob. 92RECh. 11 - Prob. 93RECh. 11 - Prob. 94RECh. 11 - Prob. 95RECh. 11 - Prob. 96RECh. 11 - Prob. 97RECh. 11 - Prob. 98RECh. 11 - Prob. 99RECh. 11 - Prob. 100RECh. 11 - Prob. 101RECh. 11 - Prob. 102RECh. 11 - Prob. 103RECh. 11 - Prob. 104RECh. 11 - Prob. 105RECh. 11 - Prob. 106RECh. 11 - Prob. 107RECh. 11 - Prob. 1PTCh. 11 - Prob. 2PTCh. 11 - Prob. 3PTCh. 11 - Prob. 4PTCh. 11 - Prob. 5PTCh. 11 - Prob. 6PTCh. 11 - Prob. 7PTCh. 11 - Prob. 8PTCh. 11 - Prob. 9PTCh. 11 - Prob. 10PTCh. 11 - Prob. 11PTCh. 11 - Prob. 12PTCh. 11 - Prob. 13PTCh. 11 - Prob. 14PTCh. 11 - Prob. 15PTCh. 11 - Prob. 16PT
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