{"id":166901,"date":"2024-04-22T13:56:11","date_gmt":"2024-04-22T08:26:11","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=166901"},"modified":"2024-04-22T13:56:11","modified_gmt":"2024-04-22T08:26:11","slug":"the-top-of-two-trees-of-height-75-metres-and-45-metres-are-connected-by-a-wire-if-the-rope-makes-an-angle","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-top-of-two-trees-of-height-75-metres-and-45-metres-are-connected-by-a-wire-if-the-rope-makes-an-angle\/","title":{"rendered":"The top of two trees of height 75 metres and 45 metres are connected by a wire. If the rope makes an angle"},"content":{"rendered":"\n<p>The top of two trees of height 75 metres and 45 metres are connected by a wire. If the rope makes an angle with the horizontal whose tangent is 6\/13 metres, then what is the distance (in metres) between the two trees?<\/p>\n\n\n\n<p>(a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 60<\/p>\n\n\n\n<p>(b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 24<\/p>\n\n\n\n<p>(c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 55<\/p>\n\n\n\n<p><strong>(d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 65<\/strong><\/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=\"667\" height=\"1024\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-241-667x1024.png\" alt=\"\" class=\"wp-image-166906\" style=\"width:113px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-241-667x1024.png 667w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-241-195x300.png 195w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-241-767x1179.png 767w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-241-1000x1536.png 1000w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-241-1333x2048.png 1333w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-241-98x150.png 98w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-241-100x154.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-241-228x350.png 228w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-241-788x1210.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/04\/image-241.png 138w\" sizes=\"(max-width: 667px) 100vw, 667px\" \/><\/figure>\n\n\n\n<p>6\u2192 30 (75 \u2013 45) [GIVEN TOTAL HEIGHT AS 75 IN QUES]<\/p>\n\n\n\n<p>1\u2192 5 13 \u2192 65 cm.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The top of two trees of height 75 metres and 45 metres are connected by a wire. If the rope makes an angle with the horizontal whose tangent is 6\/13 metres, then what is the distance (in metres) between the two trees? (a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 60 (b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 24 (c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 55 (d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 65 Sol: 6\u2192 30 (75 \u2013 [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":166915,"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-166901","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\/166901","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=166901"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166901\/revisions"}],"predecessor-version":[{"id":166916,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166901\/revisions\/166916"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/166915"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=166901"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=166901"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=166901"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}