Convert the following Bearing’s to Azimuth’s
a. N 40 degrees 45 minutes 32 seconds W
b. S 24 degrees 10 minutes 25 seconds E
c. N 87 degrees 44 minutes 00 seconds W
d. S 25 degrees 25 minutes 60 seconds E<\/p>\n\n\n\n
The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n To convert bearings to azimuths, we follow a simple set of rules based on the quadrant<\/strong> in which the bearing lies. Azimuths are measured in degrees clockwise from due north (0\u00b0 to 360\u00b0)<\/strong>.<\/p>\n\n\n\n a.<\/strong> N 40\u00b0 45\u2032 32\u2033 W \u2192 Azimuth = 360\u00b0 – 40\u00b0 45\u2032 32\u2033 = 319\u00b0 14\u2032 28\u2033<\/strong> Bearings describe direction using the compass quadrants: Northeast (NE), Southeast (SE), Southwest (SW), and Northwest (NW)<\/strong>. They always start with either “N” or “S” and are followed by an angle (from 0\u00b0 to 90\u00b0) and a final direction “E” or “W.” For example, N 40\u00b0 W<\/strong> means 40 degrees west of north.<\/p>\n\n\n\n On the other hand, azimuths<\/strong> are measured clockwise from true north<\/strong>, ranging from 0\u00b0 to 360\u00b0<\/strong>, with no reference to cardinal directions. Therefore, conversion from a bearing to an azimuth depends entirely on the quadrant the bearing lies in.<\/p>\n\n\n\n Here\u2019s a breakdown by quadrant:<\/p>\n\n\n\n Let\u2019s apply this to each case:<\/p>\n\n\n\n Understanding how bearings convert to azimuths is critical in fields like land surveying, navigation, and GIS, where precise direction is essential for plotting and mapping.<\/p>\n","protected":false},"excerpt":{"rendered":" Convert the following Bearing’s to Azimuth’s a. N 40 degrees 45 minutes 32 seconds Wb. S 24 degrees 10 minutes 25 seconds Ec. N 87 degrees 44 minutes 00 seconds Wd. S 25 degrees 25 minutes 60 seconds E The correct answer and explanation is : To convert bearings to azimuths, we follow a simple […]<\/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-211556","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/211556","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=211556"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/211556\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=211556"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=211556"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=211556"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nGiven Bearings and Their Azimuths:<\/h3>\n\n\n\n
b.<\/strong> S 24\u00b0 10\u2032 25\u2033 E \u2192 Azimuth = 180\u00b0 + 24\u00b0 10\u2032 25\u2033 = 204\u00b0 10\u2032 25\u2033<\/strong>
c.<\/strong> N 87\u00b0 44\u2032 00\u2033 W \u2192 Azimuth = 360\u00b0 – 87\u00b0 44\u2032 00\u2033 = 272\u00b0 16\u2032 00\u2033<\/strong>
d.<\/strong> S 25\u00b0 25\u2032 60\u2033 E \u2192 (Note: 60 seconds = 1 minute, so this is S 25\u00b0 26\u2032 00\u2033 E<\/strong>)
\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2003\u2192 Azimuth = 180\u00b0 + 25\u00b0 26\u2032 00\u2033 = 205\u00b0 26\u2032 00\u2033<\/strong><\/p>\n\n\n\n
\n\n\n\nExplanation (300+ words):<\/h3>\n\n\n\n
\n
\n
\u2003\u2003\u2192 360\u00b0 – 40\u00b0 45\u2032 32\u2033 = 319\u00b0 14\u2032 28\u2033<\/strong><\/li>\n\n\n\n
\u2003\u2003\u2192 180\u00b0 + 24\u00b0 10\u2032 25\u2033 = 204\u00b0 10\u2032 25\u2033<\/strong><\/li>\n\n\n\n
\u2003\u2003\u2192 Azimuth = 180\u00b0 + 25\u00b0 26\u2032 00\u2033 = 205\u00b0 26\u2032 00\u2033<\/strong><\/li>\n<\/ul>\n\n\n\n