3. In the following figure, you are given all interior angles and Azimuth AB. Compute the azimuths of the remaining sides. Include the check to ensure your work is correct. Angle C: 32° 43' Angle B: 43° 25' B Azimuth AB: 337° 37' A Angle A: 103° 52' ‒‒‒‒‒‒

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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3. In the following figure, you are given all interior angles and Azimuth AB. Compute the azimuths of the
remaining sides. Include the check to ensure your work is correct.
4.
с
Angle C: 32° 43'
Angle B: 43° 25'
B
CD = 143° 22'
Azimuth AB: 337° 37'
A
Angle A: 103° 52'
Given the figure below and associated azimuths, calculate the interior angles of the figure Include the
check to ensure your calculations are correct.
BC = 271°
D
B
AB = 305°
DA = 66° 50'
A
Transcribed Image Text:3. In the following figure, you are given all interior angles and Azimuth AB. Compute the azimuths of the remaining sides. Include the check to ensure your work is correct. 4. с Angle C: 32° 43' Angle B: 43° 25' B CD = 143° 22' Azimuth AB: 337° 37' A Angle A: 103° 52' Given the figure below and associated azimuths, calculate the interior angles of the figure Include the check to ensure your calculations are correct. BC = 271° D B AB = 305° DA = 66° 50' A
Expert Solution
Step 1: Organizing the given data and defining the required terms:

“Since you have posted multiple questions, we will provide the solution only to the first question as per our Q&A guidelines. Please repost the remaining questions separately.”

In space increment ABC comma
angle straight A space equals space 103 degree 52 apostrophe space equals space left parenthesis 103 space plus space 52 over 60 right parenthesis degree space equals space 103.8667 degree
angle straight B space equals space 43 degree 25 apostrophe space equals space left parenthesis 43 space plus space 25 over 60 right parenthesis degree space equals space 43.41667 degree
angle straight C space equals space 32 degree 43 apostrophe space equals space left parenthesis 32 space plus space 43 over 60 right parenthesis degree space equals space 32.71667 degree
Azimuth space AB space equals space 337 degree 37 apostrophe space equals space left parenthesis 337 space plus space 37 over 60 right parenthesis degree space equals space 337.61667 degree

Azimuth space CA space equals space 180 degree space plus space Azimuth space AB space minus space angle straight B
Azimuth space BC space equals space 180 degree space plus thin space Azimuth space CA space minus space angle straight A

If the value of azimuth is greater than 360 degree then the final answer will be obtained by subtracting 360 degree from the result.

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