{"id":20039,"date":"2022-09-21T08:23:13","date_gmt":"2022-09-21T08:23:13","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=7842"},"modified":"2022-09-21T08:23:13","modified_gmt":"2022-09-21T08:23:13","slug":"example-2-2","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/09\/21\/example-2-2\/","title":{"rendered":"Example 2 :"},"content":{"rendered":"\n<p><strong>Example 2:<\/strong>&nbsp;A plane flies at 300 miles per hour. There is a wind blowing out of the southeast at 86 miles per hour with a bearing of 320\u00b0. At what bearing must the plane head in order to have a true bearing (relative to the ground) of 14\u00b0? What will be the plane&#8217;s groundspeed (Figure &nbsp;5)?<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.cliffsnotes.com\/rails\/active_storage\/blobs\/redirect\/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBcTBrIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--eac52a2e5e9d7ba9604301e3361a6f2952ee5ac3\/11196.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<p><strong>Figure 5<\/strong><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Drawing for Example 2.<\/p>\n\n\n\n<p>Use the law of sines to calculate the bearing and the groundspeed. Because these alternate interior angles are congruent, the 54\u00b0 angle is the sum of the 14\u00b0 angle and the 40\u00b0 angle.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.cliffsnotes.com\/rails\/active_storage\/blobs\/redirect\/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBcTRrIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--396d10df7574842d3260c9262571e575b51d4afd\/11143.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<p>Therefore, the bearing of the plane should be 14\u00b0 + 13.4\u00b0 = 27.4\u00b0. The groundspeed of the plane is 342.3 miles per hour.<\/p>\n\n\n\n<p>Any vector can be broken down into two&nbsp;<strong>component vectors<\/strong>, a horizontal component and a vertical component. These component vectors are called&nbsp;<strong>projections<\/strong>&nbsp;(Figure &nbsp;6).<\/p>\n\n\n\n<p><img decoding=\"async\" src=\"https:\/\/www.cliffsnotes.com\/rails\/active_storage\/blobs\/redirect\/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBcThrIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--1961891d33c2c6f4b8bc9baa626252d281b044cd\/11197.jpg\"><br><br><br><strong>Figure 6<\/strong><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Example of projections.<br><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.cliffsnotes.com\/rails\/active_storage\/blobs\/redirect\/eyJfcmFpbHMiOnsibWVzc2FnZSI6IkJBaHBBckFrIiwiZXhwIjpudWxsLCJwdXIiOiJibG9iX2lkIn19--b2b36ed1232054bd3d56fc8cef3d5b8b5ac015ac\/11146.jpg\" alt=\"\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Example 2:&nbsp;A plane flies at 300 miles per hour. There is a wind blowing out of the southeast at 86 miles per hour with a bearing of 320\u00b0. At what bearing must the plane head in order to have a true bearing (relative to the ground) of 14\u00b0? What will be the plane&#8217;s groundspeed (Figure [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[734],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/20039"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=20039"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/20039\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=20039"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=20039"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=20039"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}