{"id":11528,"date":"2021-06-01T13:52:43","date_gmt":"2021-06-01T13:52:43","guid":{"rendered":"http:\/\/www.max-sperling.bplaced.net\/?p=11528"},"modified":"2021-06-01T13:52:43","modified_gmt":"2021-06-01T13:52:43","slug":"exercise-7-algebra","status":"publish","type":"post","link":"http:\/\/www.max-sperling.bplaced.net\/?p=11528","title":{"rendered":"Math &#8211; Exercise 7 (Algebra)"},"content":{"rendered":"<p><strong>Given<\/strong><br \/>\n<center>A boat drives (10 km\/h) on a river (4 km\/h).<\/center><\/p>\n<hr>\n<p><strong>Find<\/strong><br \/>\n<center>The steering angle of the boat to traverse the river orthogonally.<\/center><\/p>\n<hr>\n<p><strong>Solution<\/strong><br \/>\n<center><br \/>\n\\(<br \/>\n\\begin{array}{l}<br \/>\n  v_{river} = \\begin{pmatrix}4\\\\0\\end{pmatrix},\\ v_{route} = \\begin{pmatrix}0\\\\10\\end{pmatrix} \\\\<br \/>\n  v_{boat} = v_{route} &#8211; v_{river} = \\begin{pmatrix}-4\\\\10\\end{pmatrix} \\\\<br \/>\n  \\tan(\\angle{v_{boat}}) = \\frac{-4}{10},\\ \\angle{v_{boat}} = \\arctan(-0,4) \\approx -21,8\u00b0<br \/>\n\\end{array}<br \/>\n\\)<br \/>\n<\/center><\/p>\n<hr>\n<p><strong>Answer<\/strong><br \/>\n<center>\\(\\angle{v_{boat}} \\approx -21,8\u00b0\\)<\/center><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Given A boat drives (10 km\/h) on a river (4 km\/h). Find The steering angle of the boat to traverse<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[47],"tags":[],"_links":{"self":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/posts\/11528"}],"collection":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=11528"}],"version-history":[{"count":0,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/posts\/11528\/revisions"}],"wp:attachment":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11528"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11528"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11528"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}