{"id":11502,"date":"2022-07-12T22:53:24","date_gmt":"2022-07-12T17:23:24","guid":{"rendered":"https:\/\/mathemerize.com\/?p=11502"},"modified":"2022-07-12T22:53:28","modified_gmt":"2022-07-12T17:23:28","slug":"two-poles-of-height-6-m-and-11-m-stand-on-a-plane-ground-if-the-distance-between-their-feet-is-12-m-find-the-distance-between-their-tops","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/two-poles-of-height-6-m-and-11-m-stand-on-a-plane-ground-if-the-distance-between-their-feet-is-12-m-find-the-distance-between-their-tops\/","title":{"rendered":"Two poles of height 6 m and 11 m stand on a plane ground. If the distance between their feet is 12 m. find the distance between their tops."},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>Let AB and CD be two poles.<img decoding=\"async\" loading=\"lazy\" class=\" wp-image-11519 alignright\" src=\"https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/07\/similartriangles6-5-12.jpeg?resize=216%2C199&#038;ssl=1\" alt=\"\" width=\"216\" height=\"199\" srcset=\"https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/07\/similartriangles6-5-12.jpeg?resize=300%2C276&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/07\/similartriangles6-5-12.jpeg?resize=1024%2C941&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/07\/similartriangles6-5-12.jpeg?resize=768%2C706&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/07\/similartriangles6-5-12.jpeg?resize=1536%2C1411&amp;ssl=1 1536w, https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/07\/similartriangles6-5-12.jpeg?w=1700&amp;ssl=1 1700w\" sizes=\"(max-width: 216px) 100vw, 216px\" data-recalc-dims=\"1\" \/><\/p>\n<p>AB = 11 m, CD = 6 m. Draw a line CE || to BD.<\/p>\n<p>In \\(\\triangle\\) AEC,<\/p>\n<p>\\({AC}^2\\) = \\({CE}^2\\) + \\({AE}^2\\) = \\((12)^2\\) + \\((11 &#8211; 6)^2\\) = 144 + 25 = 169<\/p>\n<p>\\(\\implies\\) AC = 13 m<\/p>\n<p>Hence, distance between their tops is <strong>13 m<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : Let AB and CD be two poles. AB = 11 m, CD = 6 m. Draw a line CE || to BD. In \\(\\triangle\\) AEC, \\({AC}^2\\) = \\({CE}^2\\) + \\({AE}^2\\) = \\((12)^2\\) + \\((11 &#8211; 6)^2\\) = 144 + 25 = 169 \\(\\implies\\) AC = 13 m Hence, distance between their tops is &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/two-poles-of-height-6-m-and-11-m-stand-on-a-plane-ground-if-the-distance-between-their-feet-is-12-m-find-the-distance-between-their-tops\/\"> <span class=\"screen-reader-text\">Two poles of height 6 m and 11 m stand on a plane ground. If the distance between their feet is 12 m. find the distance between their tops.<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,912],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Two poles of height 6 m and 11 m stand on a plane ground. If the distance between their feet is 12 m. find the distance between their tops. - Mathemerize<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/two-poles-of-height-6-m-and-11-m-stand-on-a-plane-ground-if-the-distance-between-their-feet-is-12-m-find-the-distance-between-their-tops\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Two poles of height 6 m and 11 m stand on a plane ground. If the distance between their feet is 12 m. find the distance between their tops. - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Solution : Let AB and CD be two poles. AB = 11 m, CD = 6 m. Draw a line CE || to BD. In (triangle) AEC, ({AC}^2) = ({CE}^2) + ({AE}^2) = ((12)^2) + ((11 &#8211; 6)^2) = 144 + 25 = 169 (implies) AC = 13 m Hence, distance between their tops is &hellip; Two poles of height 6 m and 11 m stand on a plane ground. If the distance between their feet is 12 m. find the distance between their tops. Read More &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathemerize.com\/two-poles-of-height-6-m-and-11-m-stand-on-a-plane-ground-if-the-distance-between-their-feet-is-12-m-find-the-distance-between-their-tops\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathemerize\" \/>\n<meta property=\"article:published_time\" content=\"2022-07-12T17:23:24+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-07-12T17:23:28+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathemerize.com\/wp-content\/uploads\/2022\/07\/similartriangles6-5-12-300x276.jpeg\" \/>\n<meta name=\"author\" content=\"mathemerize\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"mathemerize\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathemerize.com\/two-poles-of-height-6-m-and-11-m-stand-on-a-plane-ground-if-the-distance-between-their-feet-is-12-m-find-the-distance-between-their-tops\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/two-poles-of-height-6-m-and-11-m-stand-on-a-plane-ground-if-the-distance-between-their-feet-is-12-m-find-the-distance-between-their-tops\/\"},\"author\":{\"name\":\"mathemerize\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\"},\"headline\":\"Two poles of height 6 m and 11 m stand on a plane ground. 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