{"id":153009,"date":"2023-07-28T11:08:07","date_gmt":"2023-07-28T05:38:07","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=153009"},"modified":"2023-07-28T11:08:12","modified_gmt":"2023-07-28T05:38:12","slug":"two-ships-are-sailing-in-the-sea-on-the-two-sides-of-a-lighthouse-the-angles-of-elevation-of-the-top-of-the-lighthouse-observed-from-the-ships-are-30-and-45-respectively-if-the-lighthous","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/two-ships-are-sailing-in-the-sea-on-the-two-sides-of-a-lighthouse-the-angles-of-elevation-of-the-top-of-the-lighthouse-observed-from-the-ships-are-30-and-45-respectively-if-the-lighthous\/","title":{"rendered":"Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse observed from the ships are 30\u00b0 and 45\u00b0 respectively. If the lighthouse is 100m high, find the distance between the two ships."},"content":{"rendered":"\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Question<\/td><td colspan=\"2\">Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse observed from the ships are 30\u00b0 and 45\u00b0 respectively. If the lighthouse is 100m high, find the distance between the two ships.<\/td><\/tr><tr><td>Type<\/td><td colspan=\"2\">multiple_choice<\/td><\/tr><tr><td>Option<\/td><td>155.80 m<\/td><td>incorrect<\/td><\/tr><tr><td>Option<\/td><td>157.80 m<\/td><td>correct<\/td><\/tr><tr><td>Option<\/td><td>159. 80 m<\/td><td>incorrect<\/td><\/tr><tr><td>Option<\/td><td>161.80 m<\/td><td>incorrect<\/td><\/tr><\/tbody><\/table><figcaption class=\"wp-element-caption\"><span style=\"font-size:12.0pt;font-family:&quot;Times New Roman&quot;,serif;\nmso-fareast-font-family:&quot;Arial Unicode MS&quot;;mso-ansi-language:EN-US;mso-fareast-language:\nEN-US;mso-bidi-language:AR-SA\">Solution<\/span> :<\/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-102.png\" alt=\"\" class=\"wp-image-153010\" width=\"150\" height=\"159\"\/><\/figure>\n\n\n\n<p>Let AB be the height of lighthouse and C and D be the positions of the ships.<\/p>\n\n\n\n<p>AB = 100 meters, \u2220ACB = 45\u00b0, \u2220ADB = 60\u00b0<\/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-103.png\" alt=\"\" class=\"wp-image-153011\" width=\"270\" height=\"90\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-103.png 418w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-103-300x100.png 300w\" sizes=\"(max-width: 270px) 100vw, 270px\" \/><\/figure>\n\n\n\n<p>AC = AB (100m)<\/p>\n\n\n\n<p>AC = 100 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-104.png\" alt=\"\" class=\"wp-image-153012\" width=\"241\" height=\"116\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-104.png 434w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-104-300x144.png 300w\" sizes=\"(max-width: 241px) 100vw, 241px\" \/><\/figure>\n\n\n\n<p>Distance between ships, CD = AC + AD<\/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-105.png\" alt=\"\" class=\"wp-image-153013\" width=\"365\" height=\"74\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-105.png 694w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-105-300x62.png 300w\" sizes=\"(max-width: 365px) 100vw, 365px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Question Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse observed from the ships are 30\u00b0 and 45\u00b0 respectively. If the lighthouse is 100m high, find the distance between the two ships. Type multiple_choice Option 155.80 m incorrect Option 157.80 [&hellip;]<\/p>\n","protected":false},"author":984,"featured_media":153014,"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-153009","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\/153009","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=153009"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153009\/revisions"}],"predecessor-version":[{"id":153015,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153009\/revisions\/153015"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/153014"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=153009"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=153009"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=153009"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}