{"id":153049,"date":"2023-07-28T12:16:04","date_gmt":"2023-07-28T06:46:04","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=153049"},"modified":"2023-07-28T12:16:08","modified_gmt":"2023-07-28T06:46:08","slug":"a-storm-breaks-a-tree-the-broken-part-of-tree-bends-so-that-the-top-of-the-tree-touches-the-ground-and-makes-an-angle-of-60-with-the-horizontal-plane-if-the-distance-between-the-base-of-the-tr","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-storm-breaks-a-tree-the-broken-part-of-tree-bends-so-that-the-top-of-the-tree-touches-the-ground-and-makes-an-angle-of-60-with-the-horizontal-plane-if-the-distance-between-the-base-of-the-tr\/","title":{"rendered":"A storm breaks a tree. The broken part of tree bends so that the top of the tree touches the ground and makes an angle of 60\u00b0 with the horizontal plane. If the distance between the base of the tree and the point where top of tree touches the ground is 10 m, find the height of the tree?"},"content":{"rendered":"\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Question<\/td><td colspan=\"2\">A storm breaks a tree. The broken part of tree bends so that the top of the tree touches the ground and makes an angle of 60\u00b0 with the horizontal plane. If the distance between the base of the tree and the point where top of tree touches the ground is 10 m, find the height of the tree?<\/td><\/tr><tr><td>Type<\/td><td colspan=\"2\">multiple_choice<\/td><\/tr><tr><td>Option<\/td><td>37.3 m<\/td><td>correct<\/td><\/tr><tr><td>Option<\/td><td>17.3 m<\/td><td>incorrect<\/td><\/tr><tr><td>Option<\/td><td>27.3 m<\/td><td>incorrect<\/td><\/tr><tr><td>Option<\/td><td>20.3 m<\/td><td>incorrect<\/td><\/tr><\/tbody><\/table><figcaption class=\"wp-element-caption\">Solution <\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-119.png\" alt=\"\" class=\"wp-image-153050\" width=\"168\" height=\"145\"\/><\/figure>\n\n\n\n<p>PQ = 10 and let RQ be X.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-120.png\" alt=\"\" class=\"wp-image-153051\" width=\"256\" height=\"82\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-120.png 444w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-120-300x97.png 300w\" sizes=\"auto, (max-width: 256px) 100vw, 256px\" \/><\/figure>\n\n\n\n<p>X = 10 \u221a3<\/p>\n\n\n\n<p>Now, PR<sup>2<\/sup>&nbsp;= X<sup>2<\/sup>&nbsp;+ (10)<sup>2<\/sup><\/p>\n\n\n\n<p>PR2 = (10 \u221a3)<sup>2<\/sup>&nbsp;+ (10)<sup>2<\/sup><\/p>\n\n\n\n<p>= 300 + 100<\/p>\n\n\n\n<p>PR2 = 400<\/p>\n\n\n\n<p>PR = 20<\/p>\n\n\n\n<p>Height of tree = RQ + PR<\/p>\n\n\n\n<p>= X + 20<\/p>\n\n\n\n<p>= 10 \u221a3 + 20<\/p>\n\n\n\n<p>= 10 * 1.73 + 20<\/p>\n\n\n\n<p>= 17.3 + 20 = 37.3 meter (Option A)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Question A storm breaks a tree. The broken part of tree bends so that the top of the tree touches the ground and makes an angle of 60\u00b0 with the horizontal plane. If the distance between the base of the tree and the point where top of tree touches the ground is 10 m, find [&hellip;]<\/p>\n","protected":false},"author":984,"featured_media":153052,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5138],"tags":[5139],"offerexpiration":[],"class_list":["post-153049","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153049","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/984"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=153049"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153049\/revisions"}],"predecessor-version":[{"id":153053,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153049\/revisions\/153053"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/153052"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=153049"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=153049"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=153049"},{"taxonomy":"offerexpiration","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/offerexpiration?post=153049"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}