{"id":23483,"date":"2022-12-08T15:38:56","date_gmt":"2022-12-08T15:38:56","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=23483"},"modified":"2022-12-20T00:50:09","modified_gmt":"2022-12-20T00:50:09","slug":"um-balao-publicitario","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=23483","title":{"rendered":"Um bal\u00e3o publicit\u00e1rio"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_23483' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_23483' class='GTTabs_curr'><a  id=\"23483_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_23483' ><a  id=\"23483_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_23483'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag065-6.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23484\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23484\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag065-6.png\" data-orig-size=\"300,270\" 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=\"8_Pag065-6\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag065-6.png\" class=\"alignright wp-image-23484\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag065-6.png\" alt=\"\" width=\"240\" height=\"216\" \/><\/a>Um bal\u00e3o publicit\u00e1rio encontra-se preso ao solo por uma corda.<\/p>\n<p>Num dia sem vento, estava suspenso na vertical, a 15 metros de altura. No entanto, no dia anterior esteve muito vento e o bal\u00e3o afastou-se 12 m do local onde se encontrava preso.<\/p>\n<p>A que altura se encontrava?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_23483' onClick='GTTabs_show(1,23483)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_23483'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag065-6.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23484\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23484\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag065-6.png\" data-orig-size=\"300,270\" 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=\"8_Pag065-6\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag065-6.png\" class=\"alignright wp-image-23484\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag065-6.png\" alt=\"\" width=\"240\" height=\"216\" \/><\/a>Um bal\u00e3o publicit\u00e1rio encontra-se preso ao solo por uma corda.<\/p>\n<p>Num dia sem vento, estava suspenso na vertical, a 15 metros de altura. No entanto, no dia anterior esteve muito vento e o bal\u00e3o afastou-se 12 m do local onde se encontrava preso.<\/p>\n<p>A que altura se encontrava?<\/p>\n<\/blockquote>\n<p>\u00a0<\/p>\n<p>Como a corda tem 15 metros de comprimento , aplicando o Teorema de Pit\u00e1goras no tri\u00e2ngulo ret\u00e2ngulo da figura, vem:<\/p>\n<p>\\[h = \\sqrt {{{15}^2} &#8211; {{12}^2}} = \\sqrt {225 &#8211; 144} = \\sqrt {81} = 9\\]<\/p>\n<p>Portanto, nesse dia, o bal\u00e3o encontrava-se a 9 metros de altura.<\/p>\n<p>\u00a0<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/C-Natal_8C_2022-23.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23760\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23760\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/C-Natal_8C_2022-23.png\" data-orig-size=\"3796,920\" 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=\"C-Natal_8C_2022-23\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/C-Natal_8C_2022-23-1024x248.png\" class=\"aligncenter wp-image-23760 size-full\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/C-Natal_8C_2022-23.png\" alt=\"\" width=\"3796\" height=\"920\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/C-Natal_8C_2022-23.png 3796w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/C-Natal_8C_2022-23-300x73.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/C-Natal_8C_2022-23-1024x248.png 1024w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/C-Natal_8C_2022-23-768x186.png 768w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/C-Natal_8C_2022-23-1536x372.png 1536w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/C-Natal_8C_2022-23-2048x496.png 2048w\" sizes=\"auto, (max-width: 3796px) 100vw, 3796px\" \/><\/a><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_23483' onClick='GTTabs_show(0,23483)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Um bal\u00e3o publicit\u00e1rio encontra-se preso ao solo por uma corda. Num dia sem vento, estava suspenso na vertical, a 15 metros de altura. No entanto, no dia anterior esteve muito vento&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":23760,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,682],"tags":[424,67,118],"series":[],"class_list":["post-23483","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-teorema-de-pitagoras","tag-8-o-ano","tag-geometria","tag-teorema-de-pitagoras"],"views":175,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/C-Natal_8C_2022-23.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23483","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=23483"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23483\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/23760"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23483"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23483"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23483"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=23483"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}