{"id":13995,"date":"2018-03-09T23:23:48","date_gmt":"2018-03-09T23:23:48","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=13995"},"modified":"2022-01-11T01:55:39","modified_gmt":"2022-01-11T01:55:39","slug":"calcula-o-valor-de-x-2","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=13995","title":{"rendered":"Calcula o valor de x"},"content":{"rendered":"<p><ul id='GTTabs_ul_13995' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_13995' class='GTTabs_curr'><a  id=\"13995_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_13995' ><a  id=\"13995_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_13995'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-7b.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"13996\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=13996\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-7b.png\" data-orig-size=\"670,370\" 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=\"Tri\u00e2ngulos\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-7b.png\" class=\"alignright wp-image-13996\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-7b-300x166.png\" alt=\"\" width=\"400\" height=\"221\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-7b-300x166.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-7b.png 670w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a>Calcula o valor de x, arredondado \u00e0s cent\u00e9simas, em cada um dos tri\u00e2ngulos desenhados.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_13995' onClick='GTTabs_show(1,13995)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_13995'>\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\/9V2Pag051-7b.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"13996\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=13996\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-7b.png\" data-orig-size=\"670,370\" 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=\"Tri\u00e2ngulos\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-7b.png\" class=\"alignright wp-image-13996\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-7b-300x166.png\" alt=\"\" width=\"400\" height=\"221\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-7b-300x166.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-7b.png 670w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a>Em rela\u00e7\u00e3o ao tri\u00e2ngulo do lado esquerdo, temos:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{{\\mathop{\\rm tg}\\nolimits} x = \\frac{{6,4}}{{10}}}&amp; \\Leftrightarrow &amp;{{\\mathop{\\rm tg}\\nolimits} x = 0,64}\\\\{}&amp; \\Leftrightarrow &amp;{x = {{{\\mathop{\\rm tg}\\nolimits} }^{ &#8211; 1}}\\left( {0,64} \\right)}\\\\{}&amp;{}&amp;{x \\approx 32,62^\\circ }\\end{array}\\]<\/p>\n<p>Portanto, \\(x \\approx 32,62^\\circ \\).<br \/>\n\u00ad<\/p>\n<p>Em rela\u00e7\u00e3o ao tri\u00e2ngulo do lado direito, temos:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{\\cos 40^\\circ = \\frac{{32}}{x}}&amp; \\Leftrightarrow &amp;{x = \\frac{{32}}{{\\cos 40^\\circ }}}\\\\{}&amp;{}&amp;{x \\approx 41,77}\\end{array}\\]<\/p>\n<p>Portanto, \\({x \\approx 41,77}\\) cm.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_13995' onClick='GTTabs_show(0,13995)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Calcula o valor de x, arredondado \u00e0s cent\u00e9simas, em cada um dos tri\u00e2ngulos desenhados. Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":13997,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,489],"tags":[426,491,493,492],"series":[],"class_list":["post-13995","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-razao-trigonometrica","tag-tangente"],"views":2212,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag051-7.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13995","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=13995"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13995\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/13997"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13995"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13995"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13995"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=13995"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}