Contemporary Mathematics for Business & Consumers - With LMS CengageNOW
8th Edition
ISBN: 9781337125468
Author: Brechner
Publisher: Cengage
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Chapter 1.II, Problem 1RE
To determine
To calculate: The sum,
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Task number: A1.1, A1.7
Topic: Celestial Navigation, Compass - Magnetic and Gyro
Activ Determine compass error (magnetic and gyro) using azimuth choosing a suitable
celestial body (Sun/ Stars/ Planets/ Moon). Apply variation to find the deviation of the magnetic
compass.
Minimum number of times that activity should be recorded: 6 (2 each phase)
Sample calculation (Azimuth- Planets):
On 06th May 2006 at 22h20m 10s UTC, a vessel in position 48°00'N 050°00'E observed Mars bearing
327° by compass. Find the compass error. If variation was 4.0° East, calculate the deviation.
GHA Mars (06d 22h):
Increment (20m 10s):
089° 55.7'
005° 02.5'
v (0.9):
(+)
00.3'
GHA Mars:
094° 58.5'
Longitude (E):
(+) 050° 00.0' (plus- since longitude is easterly)
LHA Mars:
144° 58.5'
Declination (06d 22h):
d (0.2):
N 024° 18.6'
(-)
00.1'
Declination Mars:
N 024° 18.5'
P=144° 58.5' (If LHA<180°, P=LHA)
A Tan Latitude/ Tan P
A Tan 48° 00' Tan 144° 58.5'
A = 1.584646985 N (A is named opposite to latitude, except when…
Task number: A1.1, A1.7
Topic: Celestial Navigation, Compass - Magnetic and Gyro
Activ Determine compass error (magnetic and gyro) using azimuth choosing a suitable
celestial body (Sun/ Stars/ Planets/ Moon). Apply variation to find the deviation of the magnetic
compass.
Minimum number of times that activity should be recorded: 6 (2 each phase)
Sample calculation (Azimuth- Planets):
On 06th May 2006 at 22h20m 10s UTC, a vessel in position 48°00'N 050°00'E observed Mars bearing
327° by compass. Find the compass error. If variation was 4.0° East, calculate the deviation.
GHA Mars (06d 22h):
Increment (20m 10s):
089° 55.7'
005° 02.5'
v (0.9):
(+)
00.3'
GHA Mars:
094° 58.5'
Longitude (E):
(+) 050° 00.0' (plus- since longitude is easterly)
LHA Mars:
144° 58.5'
Declination (06d 22h):
d (0.2):
N 024° 18.6'
(-)
00.1'
Declination Mars:
N 024° 18.5'
P=144° 58.5' (If LHA<180°, P=LHA)
A Tan Latitude/ Tan P
A Tan 48° 00' Tan 144° 58.5'
A = 1.584646985 N (A is named opposite to latitude, except when…
Activ
Determine compass error using amplitude (Sun).
Minimum number of times that activity should be performed: 3 (1 each phase)
Sample calculation (Amplitude- Sun):
On 07th May 2006 at Sunset, a vessel in position 10°00'N 010°00'W observed the Sun bearing 288°
by compass. Find the compass error.
LMT Sunset:
LIT:
(+) 00d
07d 18h
00h
13m
40m
UTC Sunset:
07d
18h
53m
(added- since longitude is westerly)
Declination (07d 18h):
N 016° 55.5'
d (0.7):
(+)
00.6'
Declination Sun:
N 016° 56.1'
Sin Amplitude = Sin Declination/Cos Latitude
= Sin 016°56.1'/ Cos 10°00'
= 0.295780189
Amplitude=W17.2N
(The prefix of amplitude is named easterly if body is rising,
and westerly if body is setting. The suffix is named same
as declination)
True Bearing=287.2°
Compass Bearing= 288.0°
Compass Error = 0.8° West
Chapter 1 Solutions
Contemporary Mathematics for Business & Consumers - With LMS CengageNOW
Ch. 1.I - Read and write the following whole numbers in...Ch. 1.I - Round the following numbers to the indicated...Ch. 1.I - Read and write the following whole numbers in...Ch. 1.I - Read and write the following whole numbers in...Ch. 1.I - Read and write the following whole numbers in...Ch. 1.I - Read and write the following whole numbers in...Ch. 1.I - Read and write the following whole numbers in...Ch. 1.I - Read and write the following whole numbers in...Ch. 1.I - Write the following whole numbers in numerical...Ch. 1.I - Write the following whole numbers in numerical...
Ch. 1.I - Write the following whole numbers in numerical...Ch. 1.I - Match the following numbers in word form with the...Ch. 1.I - Match the following numbers in word form with the...Ch. 1.I - Match the following numbers in word form with the...Ch. 1.I - Match the following numbers in word form with the...Ch. 1.I - Match the following numbers in word form with the...Ch. 1.I - Round the following numbers to the indicated...Ch. 1.I - Round the following numbers to the indicated...Ch. 1.I - Round the following numbers to the indicated...Ch. 1.I - Round the following numbers to the indicated...Ch. 1.I - Round the following numbers to the indicated...Ch. 1.I - Prob. 20RECh. 1.I - Round the following numbers to the indicated...Ch. 1.I - Round the following numbers to the indicated...Ch. 1.I - 23. According to the American Wind Energy...Ch. 1.I - According to the Financial Times, in a recent...Ch. 1.II - Add the following sets of whole numbers and verify...Ch. 1.II - Prob. 4TIECh. 1.II - Prob. 1RECh. 1.II - Prob. 2RECh. 1.II - Prob. 3RECh. 1.II - Prob. 4RECh. 1.II - Prob. 5RECh. 1.II - 2,339+118+3,650+8,770+81+6=Ch. 1.II - Prob. 7RECh. 1.II - Prob. 8RECh. 1.II - Prob. 9RECh. 1.II - Estimate the following by rounding each number all...Ch. 1.II - Prob. 11RECh. 1.II - Prob. 12RECh. 1.II - Prob. 13RECh. 1.II - At Cherry Valley Farms, a farmer plants 350 acres...Ch. 1.II - Prob. 15RECh. 1.II - Prob. 16RECh. 1.II - Prob. 17RECh. 1.II - Prob. 18RECh. 1.II - Prob. 19RECh. 1.II - Prob. 20RECh. 1.II - Prob. 21RECh. 1.II - Prob. 22RECh. 1.II - Prob. 23RECh. 1.II - Subtract the following numbers.
24. Subtract 5,868...Ch. 1.II - Subtract the following numbers.
25. Subtract...Ch. 1.II - The beginning inventory of the Designer Shoe Salon...Ch. 1.II - Prob. 27RECh. 1.II - 28. Use the U.S Postal Service Mail Volume graph...Ch. 1.II - Prob. 29RECh. 1.II - An Allied Vans Lines moving truck picks up loads...Ch. 1.II - A personal balance sheet is the financial picture...Ch. 1.III - Multiply the following numbers and verify your...Ch. 1.III - Divide the following numbers and verify your...Ch. 1.III - Prob. 1RECh. 1.III - Multiply the following numbers and verify your...Ch. 1.III - Prob. 3RECh. 1.III - Prob. 4RECh. 1.III - Prob. 5RECh. 1.III - Prob. 6RECh. 1.III - Prob. 7RECh. 1.III - Prob. 8RECh. 1.III - Prob. 9RECh. 1.III - Prob. 10RECh. 1.III - Prob. 11RECh. 1.III - Dazzling Designs made custom drapery for a client...Ch. 1.III - Prob. 13RECh. 1.III - There are 34 stairs from bottom to top in each of...Ch. 1.III - Prob. 15RECh. 1.III - 16. Bob Powers, a consulting electrical engineer,...Ch. 1.III - Prob. 17RECh. 1.III - Prob. 18RECh. 1.III - Prob. 19RECh. 1.III - Prob. 20RECh. 1.III - Prob. 21RECh. 1.III - Prob. 22RECh. 1.III - Prob. 23RECh. 1.III - Tip-Top Roofing has 50,640 square feet of roofing...Ch. 1.III - 25. A calculator uses eight circuit boards, each...Ch. 1.III - 26. Eric Shotwell borrows $24,600 from the...Ch. 1.III - A 16-person college basketball team is going to a...Ch. 1.III - You have just purchased a 65-acre ranch for a...Ch. 1.III - As the IT manager for FastNet Enterprises, you...Ch. 1.III - 30. You are the owner of Decorama Flooring. Todd...Ch. 1 - 1. The number system most widely used in the world...Ch. 1 - Prob. 2CRCh. 1 - Prob. 3CRCh. 1 - Prob. 4CRCh. 1 - Prob. 5CRCh. 1 - Rounding all the way is a process of rounding...Ch. 1 - Prob. 7CRCh. 1 - 8. When performing addition, we write the addends...Ch. 1 - 9. The mathematical process of taking away, or...Ch. 1 - Prob. 10CRCh. 1 - Prob. 11CRCh. 1 - Prob. 12CRCh. 1 - Prob. 13CRCh. 1 - 14. Show four ways to express 15 divided by 5....Ch. 1 - Read and write the following whole numbers in...Ch. 1 - Read and write the following whole numbers in...Ch. 1 - Prob. 3ATCh. 1 - Prob. 4ATCh. 1 - Round the following numbers to the indicated...Ch. 1 - Round the following numbers to the indicated...Ch. 1 - Prob. 7ATCh. 1 - Prob. 8ATCh. 1 - Prob. 9ATCh. 1 - Prob. 10ATCh. 1 - Prob. 11ATCh. 1 - Prob. 12ATCh. 1 - Prob. 13ATCh. 1 - Prob. 14ATCh. 1 - Prob. 15ATCh. 1 - The following chart shows the number of meals...Ch. 1 - Prob. 17ATCh. 1 - 18. The stadium parking lot at Fairview College...Ch. 1 - Prob. 19ATCh. 1 - Facebook reported that for one three-month period,...Ch. 1 - You are in charge of organizing the annual...Ch. 1 - Prob. 22ATCh. 1 - Prob. 23ATCh. 1 - A banana nut bread recipe calls for 2 cups of...Ch. 1 - Brian Hickman bought 2,000 shares of stock at $62...Ch. 1 - 26. The Canmore Mining Company produces 40 tons of...Ch. 1 - Prob. 27ATCh. 1 - The Iberia Corporation purchased a new warehouse...Ch. 1 - A flatbed railroad car weighs 150 tons empty and...Ch. 1 - The Spring Creek Police Department has been asked...Ch. 1 - Prob. 31ATCh. 1 - John Rock has narrowed down his selection of a new...Ch. 1 - Prob. 33AT
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