{"id":14307,"date":"2018-04-09T17:33:22","date_gmt":"2018-04-09T16:33:22","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14307"},"modified":"2022-01-11T14:26:05","modified_gmt":"2022-01-11T14:26:05","slug":"uma-rampa-na-entrada-de-uma-escola","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14307","title":{"rendered":"Uma rampa na entrada de uma escola"},"content":{"rendered":"<p><ul id='GTTabs_ul_14307' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14307' class='GTTabs_curr'><a  id=\"14307_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14307' ><a  id=\"14307_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_14307'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag68-5b.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14309\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14309\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag68-5b.png\" data-orig-size=\"410,235\" 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\/04\/9V2Pag68-5b.png\" class=\"size-medium wp-image-14309 alignright\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag68-5b-300x172.png\" alt=\"\" width=\"300\" height=\"172\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag68-5b-300x172.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag68-5b.png 410w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>O acesso a uma das entradas da escola da Rita \u00e9 feito por uma escada de dois degraus iguais, cada um deles com 10 cm de altura.<br \/>\nCom o objetivo de facilitar a entrada na escola a pessoas com mobilidade condicionada, foi constru\u00edda uma rampa.<br \/>\nPara respeitar a legisla\u00e7\u00e3o em vigor, esta rampa foi constru\u00edda de modo a fazer com o solo um \u00e2ngulo de 3 graus, como se pode ver no esquema ao lado (o esquema n\u00e3o est\u00e1 \u00e0 escala).<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag68-5.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14310\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14310\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag68-5.png\" data-orig-size=\"568,203\" 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\/04\/9V2Pag68-5.png\" class=\"alignright wp-image-14310\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag68-5-300x107.png\" alt=\"\" width=\"400\" height=\"143\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag68-5-300x107.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag68-5.png 568w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a>Determina, em metros, o comprimento, <em>c<\/em>, da rampa.<br \/>\nIndica o resultado arredondado \u00e0s d\u00e9cimas e apresenta todos os c\u00e1lculos que efetuares.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14307' onClick='GTTabs_show(1,14307)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14307'>\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\/04\/9V2Pag68-5.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14310\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14310\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag68-5.png\" data-orig-size=\"568,203\" 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\/04\/9V2Pag68-5.png\" class=\"alignright wp-image-14310\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag68-5-300x107.png\" alt=\"\" width=\"400\" height=\"143\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag68-5-300x107.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag68-5.png 568w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a>No tri\u00e2ngulo ret\u00e2ngulo [<em>ABC<\/em>], temos:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{{\\mathop{\\rm sen}\\nolimits} B\\widehat AC = \\frac{{\\overline {BC} }}{{\\overline {AC} }}}&amp; \\Leftrightarrow &amp;{{\\mathop{\\rm sen}\\nolimits} 3^\\circ = \\frac{{0,2}}{{\\overline {AC} }}}\\\\{}&amp; \\Leftrightarrow &amp;{\\overline {AC} = \\frac{{0,2}}{{{\\mathop{\\rm sen}\\nolimits} 3^\\circ }}}\\\\{}&amp;{}&amp;{\\overline {AC} \\approx 3,8}\\end{array}\\]<\/p>\n<p>Portanto, a rampa tem, aproximadamente, 3,8 metros de comprimento.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14307' onClick='GTTabs_show(0,14307)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado O acesso a uma das entradas da escola da Rita \u00e9 feito por uma escada de dois degraus iguais, cada um deles com 10 cm de altura. Com o objetivo de&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14308,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,489],"tags":[426,491,494,490,492],"series":[],"class_list":["post-14307","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-cosseno","tag-razaotrigonometrica","tag-seno","tag-tangente"],"views":3368,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag68-5a.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14307","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=14307"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14307\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14308"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14307"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14307"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14307"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14307"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}