{"id":153035,"date":"2023-07-28T11:22:20","date_gmt":"2023-07-28T05:52:20","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=153035"},"modified":"2023-07-28T11:22:24","modified_gmt":"2023-07-28T05:52:24","slug":"the-tops-of-two-poles-are-connected-by-a-wire-the-heights-of-the-poles-are-10-m-and-14-m-respectively-if-the-wire-makes-a-30-angle-with-the-horizontal-find-the-length-of-the-wire","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-tops-of-two-poles-are-connected-by-a-wire-the-heights-of-the-poles-are-10-m-and-14-m-respectively-if-the-wire-makes-a-30-angle-with-the-horizontal-find-the-length-of-the-wire\/","title":{"rendered":"The tops of two poles are connected by a wire. The heights of the poles are 10 m and 14 m respectively. If the wire makes a 30\u00b0 angle with the horizontal, find the length of the wire?"},"content":{"rendered":"\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Question<\/td><td colspan=\"2\">The tops of two poles are connected by a wire. The heights of the poles are 10 m and 14 m respectively. If the wire makes a 30\u00b0 angle with the horizontal, find the length of the wire?<\/td><\/tr><tr><td>Type<\/td><td colspan=\"2\">multiple_choice<\/td><\/tr><tr><td>Option<\/td><td>7 m<\/td><td>incorrect<\/td><\/tr><tr><td>Option<\/td><td>7.5m<\/td><td>incorrect<\/td><\/tr><tr><td>Option<\/td><td>8m<\/td><td>correct<\/td><\/tr><tr><td>Option<\/td><td>8.5m<\/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 decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-114.png\" alt=\"\" class=\"wp-image-153036\" width=\"151\" height=\"146\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-114.png 326w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-114-300x290.png 300w\" sizes=\"(max-width: 151px) 100vw, 151px\" \/><\/figure>\n\n\n\n<p>Let AD and BE, be the poles of height 10 m and 14 m respectively.<\/p>\n\n\n\n<p>DE is the wire of length = L<\/p>\n\n\n\n<p>DC is parallel to AB so AD = BC = 10 m<\/p>\n\n\n\n<p>So, CE = BE &#8211; BC = 14 &#8211; 10 = 4 m<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-115.png\" alt=\"\" class=\"wp-image-153037\" width=\"271\" height=\"148\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-115.png 428w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-115-300x164.png 300w\" sizes=\"(max-width: 271px) 100vw, 271px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Question The tops of two poles are connected by a wire. The heights of the poles are 10 m and 14 m respectively. If the wire makes a 30\u00b0 angle with the horizontal, find the length of the wire? Type multiple_choice Option 7 m incorrect Option 7.5m incorrect Option 8m correct Option 8.5m incorrect Solution [&hellip;]<\/p>\n","protected":false},"author":984,"featured_media":153038,"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-153035","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\/153035","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=153035"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153035\/revisions"}],"predecessor-version":[{"id":153039,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153035\/revisions\/153039"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/153038"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=153035"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=153035"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=153035"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}