{"id":14000,"date":"2018-03-09T23:45:57","date_gmt":"2018-03-09T23:45:57","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14000"},"modified":"2022-01-11T02:05:49","modified_gmt":"2022-01-11T02:05:49","slug":"uma-rampa-com-16-metros-de-comprimento","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14000","title":{"rendered":"Uma rampa com 1,6 metros de comprimento"},"content":{"rendered":"<p><ul id='GTTabs_ul_14000' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14000' class='GTTabs_curr'><a  id=\"14000_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14000' ><a  id=\"14000_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_14000'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-8b.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14002\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14002\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-8b.png\" data-orig-size=\"470,320\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Rampa\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-8b.png\" class=\"alignright wp-image-14002\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-8b-300x204.png\" alt=\"\" width=\"400\" height=\"272\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-8b-300x204.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-8b.png 470w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a>Uma rampa com 1,6 metros de comprimento faz um \u00e2ngulo de amplitude\u00a0\u03b1 com o plano do ch\u00e3o.<\/p>\n<p>Sabendo que a altura a que o c\u00e3o se encontra \u00e9 de 0,8 m, qual \u00e9 o valor de\u00a0\u03b1?<br \/>\nExplica a tua resposta.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14000' onClick='GTTabs_show(1,14000)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14000'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/2017-18-MF9P2-pag51-8.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14004\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14004\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/2017-18-MF9P2-pag51-8.png\" data-orig-size=\"640,432\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Rampa\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/2017-18-MF9P2-pag51-8.png\" class=\"alignright wp-image-14004\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/2017-18-MF9P2-pag51-8-300x203.png\" alt=\"\" width=\"400\" height=\"270\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/2017-18-MF9P2-pag51-8-300x203.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/2017-18-MF9P2-pag51-8.png 640w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a>Tenha-se em considera\u00e7\u00e3o o tri\u00e2ngulo ret\u00e2ngulo [ABC] e os dados assinalados na figura.<\/p>\n<p>Ora,<br \/>\n\\[\\begin{array}{*{20}{l}}{{\\mathop{\\rm sen}\\nolimits} \\alpha = \\frac{{\\overline {BC} }}{{\\overline {AC} }}}&amp; \\Leftrightarrow &amp;{{\\mathop{\\rm sen}\\nolimits} \\alpha = \\frac{{0,8}}{{1,6}}}\\\\{}&amp; \\Leftrightarrow &amp;{{\\mathop{\\rm sen}\\nolimits} \\alpha = \\frac{1}{2}}\\\\{}&amp; \\Leftrightarrow &amp;{\\alpha = {{{\\mathop{\\rm sen}\\nolimits} }^{ &#8211; 1}}\\left( {\\frac{1}{2}} \\right)}\\\\{}&amp; \\Leftrightarrow &amp;{\\alpha = 30^\\circ }\\end{array}\\]<\/p>\n<p>Portanto, \\(\\alpha = 30^\\circ \\).<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14000' onClick='GTTabs_show(0,14000)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Uma rampa com 1,6 metros de comprimento faz um \u00e2ngulo de amplitude\u00a0\u03b1 com o plano do ch\u00e3o. Sabendo que a altura a que o c\u00e3o se encontra \u00e9 de 0,8 m,&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14001,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,489],"tags":[426,493,490],"series":[],"class_list":["post-14000","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-trigonometria-9--ano","tag-9-o-ano","tag-razao-trigonometrica","tag-seno"],"views":1786,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-8.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14000","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=14000"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14000\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14001"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14000"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14000"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14000"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14000"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}