{"id":166164,"date":"2024-04-03T15:05:39","date_gmt":"2024-04-03T09:35:39","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=166164"},"modified":"2024-04-03T15:05:40","modified_gmt":"2024-04-03T09:35:40","slug":"a-2-2m-tall-girl-spots-an-aeroplane-moving-with-the-wind-in-a-horizontal-line-at-a-height-of-86-2m-from-the-ground","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-2-2m-tall-girl-spots-an-aeroplane-moving-with-the-wind-in-a-horizontal-line-at-a-height-of-86-2m-from-the-ground\/","title":{"rendered":"A 2.2m tall girl spots an aeroplane moving with the wind in a horizontal line at a height of 86.2m from the ground"},"content":{"rendered":"\n

A 2.2m tall girl spots an aeroplane moving with the wind in a horizontal line at a height of 86.2m from the ground. The angle of elevation of the aeroplane from eyes of the girl at instant is 60\u00b0. After some time, the angle of elevation reduces to 30\u00b0. Find the distance travelled by the aeroplane during the interval?<\/p>\n\n\n\n

(a) 84\u221a3 m<\/p>\n\n\n\n

(b)  56<\/strong>\u221a<\/strong>3m<\/strong><\/p>\n\n\n\n

(c)  70\u221a3m<\/p>\n\n\n\n

(d) 56m<\/p>\n\n\n\n

Sol:<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

In \u2206 ACD<\/p>\n\n\n\n

AD = 84m<\/p>\n\n\n\n

tan60\u00b0 =AD\/CD<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

A 2.2m tall girl spots an aeroplane moving with the wind in a horizontal line at a height of 86.2m from the ground. The angle of elevation of the aeroplane from eyes of the girl at instant is 60\u00b0. After some time, the angle of elevation reduces to 30\u00b0. Find the distance travelled by the […]<\/p>\n","protected":false},"author":419,"featured_media":166168,"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-166164","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\/166164","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=166164"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166164\/revisions"}],"predecessor-version":[{"id":166169,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166164\/revisions\/166169"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/166168"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=166164"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=166164"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=166164"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}