{"id":1444,"date":"2026-08-25T19:02:21","date_gmt":"2026-08-25T19:02:21","guid":{"rendered":"https:\/\/www.goodtips.top\/?p=1444"},"modified":"2026-08-25T19:02:22","modified_gmt":"2026-08-25T19:02:22","slug":"spadne-strom-na-dite-tato-hadanka-mate-na-prvni-pohled","status":"publish","type":"post","link":"https:\/\/www.goodtips.top\/?p=1444","title":{"rendered":"Spadne strom na d\u00edt\u011b? Tato h\u00e1danka mate na prvn\u00ed pohled"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Na obr\u00e1zku vid\u00edme mu\u017ee, kter\u00fd \u0159e\u017ee strom ve v\u00fd\u0161ce <strong>4 metr\u016f nad zem\u00ed<\/strong>. \u010c\u00e1st stromu nad m\u00edstem \u0159ezu m\u011b\u0159\u00ed <strong>8 metr\u016f<\/strong> a d\u00edt\u011b sed\u00ed p\u0159ibli\u017en\u011b <strong>6 metr\u016f od kmene<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ot\u00e1zka zn\u00ed: <strong>Pokud strom spadne sm\u011brem k d\u00edt\u011bti, dos\u00e1hne a\u017e k n\u011bmu?<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Spr\u00e1vn\u00e1 odpov\u011b\u010f: Ano, strom m\u016f\u017ee d\u00edt\u011b zas\u00e1hnout<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Nesta\u010d\u00ed jednodu\u0161e porovnat 8 metr\u016f d\u00e9lky stromu se vzd\u00e1lenost\u00ed 6 metr\u016f. M\u00edsto, odkud horn\u00ed \u010d\u00e1st stromu pad\u00e1, se toti\u017e nach\u00e1z\u00ed je\u0161t\u011b <strong>4 metry nad zem\u00ed<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">M\u016f\u017eeme si proto p\u0159edstavit pravo\u00fahl\u00fd troj\u00faheln\u00edk:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>v\u00fd\u0161ka m\u00edsta \u0159ezu: <strong>4 m<\/strong><\/li>\n\n\n\n<li>vzd\u00e1lenost d\u00edt\u011bte od stromu: <strong>6 m<\/strong><\/li>\n\n\n\n<li>vzd\u00e1lenost od m\u00edsta \u0159ezu p\u0159\u00edmo k d\u00edt\u011bti:<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u221a(4\u00b2 + 6\u00b2) = \u221a52 \u2248 7,21 m<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Padaj\u00edc\u00ed \u010d\u00e1st stromu je v\u0161ak dlouh\u00e1 <strong>8 metr\u016f<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To znamen\u00e1, \u017ee:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>8 m &gt; 7,21 m<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Horn\u00ed \u010d\u00e1st stromu je tedy dostate\u010dn\u011b dlouh\u00e1, aby p\u0159i p\u00e1du sm\u011brem k d\u00edt\u011bti dos\u00e1hla a\u017e do jeho prostoru.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Je\u0161t\u011b jinak: \u0161pi\u010dka osmimetrov\u00e9ho kmene by p\u0159i dopadu na zem dos\u00e1hla p\u0159ibli\u017en\u011b <strong>6,9 metru od stromu<\/strong>. D\u00edt\u011b p\u0159itom sed\u00ed jen 6 metr\u016f daleko.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">V\u00fdsledek<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ano \u2013 podle rozm\u011br\u016f na obr\u00e1zku by strom d\u00edt\u011b zas\u00e1hl, pokud by spadl p\u0159\u00edmo jeho sm\u011brem.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Samoz\u0159ejm\u011b jde pouze o matematickou h\u00e1danku. Ve skute\u010dnosti by z\u00e1le\u017eelo tak\u00e9 na sm\u011bru p\u00e1du, tvaru kmene, korun\u011b stromu a dal\u0161\u00edch okolnostech.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A co jste tipovali vy \u2013 <strong>ANO, nebo NE?<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Na obr\u00e1zku vid\u00edme mu\u017ee, kter\u00fd \u0159e\u017ee strom ve v\u00fd\u0161ce 4 metr\u016f nad zem\u00ed. \u010c\u00e1st stromu nad m\u00edstem \u0159ezu m\u011b\u0159\u00ed 8 metr\u016f a d\u00edt\u011b sed\u00ed p\u0159ibli\u017en\u011b 6 metr\u016f od kmene. Ot\u00e1zka zn\u00ed: Pokud strom spadne sm\u011brem k d\u00edt\u011bti, dos\u00e1hne a\u017e k n\u011bmu? Spr\u00e1vn\u00e1 odpov\u011b\u010f: Ano, strom m\u016f\u017ee d\u00edt\u011b zas\u00e1hnout Nesta\u010d\u00ed jednodu\u0161e&#8230;<\/p>\n","protected":false},"author":1,"featured_media":1445,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-1444","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-tipy-pro-kazdy-den"],"_links":{"self":[{"href":"https:\/\/www.goodtips.top\/index.php?rest_route=\/wp\/v2\/posts\/1444","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.goodtips.top\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.goodtips.top\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.goodtips.top\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.goodtips.top\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1444"}],"version-history":[{"count":1,"href":"https:\/\/www.goodtips.top\/index.php?rest_route=\/wp\/v2\/posts\/1444\/revisions"}],"predecessor-version":[{"id":1446,"href":"https:\/\/www.goodtips.top\/index.php?rest_route=\/wp\/v2\/posts\/1444\/revisions\/1446"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.goodtips.top\/index.php?rest_route=\/wp\/v2\/media\/1445"}],"wp:attachment":[{"href":"https:\/\/www.goodtips.top\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1444"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.goodtips.top\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1444"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.goodtips.top\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1444"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}