{"id":166700,"date":"2024-04-09T12:49:55","date_gmt":"2024-04-09T07:19:55","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=166700"},"modified":"2024-04-09T12:49:56","modified_gmt":"2024-04-09T07:19:56","slug":"the-tops-of-two-poles-of-height-80-m-and-45-m-are-connected-by-a-rope-if-the-rope-makes-an-angle-with-the-horizontal-whose-tangent-is-5-9","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-tops-of-two-poles-of-height-80-m-and-45-m-are-connected-by-a-rope-if-the-rope-makes-an-angle-with-the-horizontal-whose-tangent-is-5-9\/","title":{"rendered":"The tops of two poles of height 80 m and 45 m are connected by a rope. If the rope makes an angle with the horizontal whose tangent is 5\/9"},"content":{"rendered":"\n<p>The tops of two poles of height 80 m and 45 m are connected by a rope. If the rope makes an angle with the horizontal whose tangent is 5\/9, then what is the distance (in m) between the two poles?<\/p>\n\n\n\n<p>(a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 54<\/p>\n\n\n\n<p><strong>(b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 63<\/strong><\/p>\n\n\n\n<p>(c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 72<\/p>\n\n\n\n<p>(d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 45<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"704\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-186-1024x704.png\" alt=\"\" class=\"wp-image-166701\" style=\"width:228px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-186-1024x704.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-186-300x206.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-186-767x528.png 767w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-186-1536x1057.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-186-2048x1409.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-186-218x150.png 218w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-186-100x69.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-186-509x350.png 509w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-186-788x542.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-186.png 266w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The tops of two poles of height 80 m and 45 m are connected by a rope. If the rope makes an angle with the horizontal whose tangent is 5\/9, then what is the distance (in m) between the two poles? (a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 54 (b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 63 (c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 72 (d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 45 Sol:<\/p>\n","protected":false},"author":419,"featured_media":166702,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","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":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5138],"tags":[5139],"class_list":["post-166700","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\/166700","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\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=166700"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166700\/revisions"}],"predecessor-version":[{"id":166703,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166700\/revisions\/166703"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/166702"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=166700"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=166700"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=166700"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}