Convert the following Azimuths to Bearings
a. 166 degrees 06 minutes 06 seconds.
b. 125 degrees 25 minutes 24 seconds
c. 169 degrees 16 minutes 16 seconds.
d. 180 degrees 01 minutes 61 seconds.<\/p>\n\n\n\n
The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n To convert azimuths<\/strong> to bearings<\/strong>, follow a rule-based method that considers which quadrant the azimuth angle falls into. Bearings are always expressed as angles from north or south<\/strong> toward east or west<\/strong>, within a range of 0\u00b0 to 90\u00b0.<\/p>\n\n\n\n a. 166\u00b0 06′ 06″<\/strong> b. 125\u00b0 25′ 24″<\/strong> c. 169\u00b0 16′ 16″<\/strong> d. 180\u00b0 01′ 61″<\/strong> Azimuth<\/strong> is a type of angle measurement that starts from true north<\/strong> and increases clockwise, ranging from 0\u00b0 to 360\u00b0. In contrast, a bearing<\/strong> is a direction expressed as an angle measured from north or south<\/strong> toward the east or west<\/strong>, with a maximum value of 90\u00b0.<\/p>\n\n\n\n To convert azimuths to bearings, it is crucial to identify the quadrant the azimuth falls in:<\/p>\n\n\n\n For each problem above:<\/p>\n\n\n\n Additionally, it\u2019s important to handle angles properly by simplifying seconds over 60 to minutes, and minutes over 60 to degrees when needed. For instance, in part d, “01′ 61\u201d” becomes “02\u2019 01\u201d” by carrying over 60 seconds into a minute.<\/p>\n\n\n\n This method ensures accurate conversions critical in navigation, land surveying, and engineering.<\/p>\n","protected":false},"excerpt":{"rendered":" Convert the following Azimuths to Bearingsa. 166 degrees 06 minutes 06 seconds.b. 125 degrees 25 minutes 24 secondsc. 169 degrees 16 minutes 16 seconds.d. 180 degrees 01 minutes 61 seconds. The correct answer and explanation is : To convert azimuths to bearings, follow a rule-based method that considers which quadrant the azimuth angle falls into. […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-211560","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/211560","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=211560"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/211560\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=211560"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=211560"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=211560"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nConversions<\/strong>:<\/h3>\n\n\n\n
Since 166\u00b0 is between 90\u00b0 and 180\u00b0, it lies in the Southeast (SE) quadrant<\/strong>.
Bearing = S (180\u00b0 \u2212 Azimuth) E<\/strong>
180\u00b0 \u2212 166\u00b0 06′ 06″ = 13\u00b0 53′ 54″<\/strong>
\u2705 Bearing = S 13\u00b0 53′ 54″ E<\/strong><\/p>\n\n\n\n
\n\n\n\n
125\u00b0 is also between 90\u00b0 and 180\u00b0 \u2192 SE quadrant<\/strong>.
180\u00b0 \u2212 125\u00b0 25′ 24″ = 54\u00b0 34′ 36″<\/strong>
\u2705 Bearing = S 54\u00b0 34′ 36″ E<\/strong><\/p>\n\n\n\n
\n\n\n\n
Also between 90\u00b0 and 180\u00b0 \u2192 SE quadrant<\/strong>.
180\u00b0 \u2212 169\u00b0 16′ 16″ = 10\u00b0 43′ 44″<\/strong>
\u2705 Bearing = S 10\u00b0 43′ 44″ E<\/strong><\/p>\n\n\n\n
\n\n\n\n
First, simplify the seconds and minutes.
61″ = 1′ 1″ \u2192 01′ + 1′ = 02′, 1″ remaining
So, it’s 180\u00b0 02′ 01″<\/strong>
Since it’s slightly more than 180\u00b0<\/strong>, it\u2019s in the Southwest (SW) quadrant<\/strong>.
Azimuth \u2212 180\u00b0 = 02′ 01″
\u2705 Bearing = S 02′ 01″ W<\/strong><\/p>\n\n\n\n
\n\n\n\n300-word Explanation<\/strong>:<\/h3>\n\n\n\n
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