{"id":153586,"date":"2023-07-29T15:37:25","date_gmt":"2023-07-29T10:07:25","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=153586"},"modified":"2023-07-29T15:37:27","modified_gmt":"2023-07-29T10:07:27","slug":"a-staff-is-placed-on-a-benchmark-bm-of-reduced-level-rl-100-000-m-and-a-theodolite-is-placed-at-a-horizontal-distance-of-50-m-from-the-bm-to-measure-the-vertical-angles","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-staff-is-placed-on-a-benchmark-bm-of-reduced-level-rl-100-000-m-and-a-theodolite-is-placed-at-a-horizontal-distance-of-50-m-from-the-bm-to-measure-the-vertical-angles\/","title":{"rendered":"A staff is placed on a benchmark (BM) of reduced level (RL) 100.000 m and a theodolite is placed at a horizontal distance of 50 m from the BM to measure the vertical angles"},"content":{"rendered":"\n<p>Q. A staff is placed on a benchmark (BM) of reduced level (RL) 100.000 <em>m <\/em>and a theodolite is placed at a horizontal distance of 50 <em>m <\/em>from the BM to measure the vertical angles. The measured vertical angles from the horizontal at the staff readings of 0.400 <em>m <\/em>and 2.400 <em>m <\/em>are found to be the same. Taking the height of the instrument as 1.400 <em>m<\/em>, the RL (in <em>m<\/em>) of the theodolite station is ______\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n\n\n\n<p>Solution:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"249\" height=\"152\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/Screenshot-429.png\" alt=\"\" class=\"wp-image-153587\"\/><\/figure>\n\n\n\n<p>tan \u03b8=2.4\u2212x\/50=x\u22120.4\/50<\/p>\n\n\n\n<p>2x=2.8<\/p>\n\n\n\n<p>x=1.4 m<\/p>\n\n\n\n<p>H.O.I.&nbsp;=100+1.4<\/p>\n\n\n\n<p>=101.4 m<\/p>\n\n\n\n<p>RL of theodolite station = 101.4 &#8211; Theodolite height<\/p>\n\n\n\n<p>=101.4\u22121.4<\/p>\n\n\n\n<p>=100 m<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. A staff is placed on a benchmark (BM) of reduced level (RL) 100.000 m and a theodolite is placed at a horizontal distance of 50 m from the BM to measure the vertical angles. The measured vertical angles from the horizontal at the staff readings of 0.400 m and 2.400 m are found to [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":153588,"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":[5141],"tags":[5140],"class_list":["post-153586","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153586","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=153586"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153586\/revisions"}],"predecessor-version":[{"id":153589,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153586\/revisions\/153589"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/153588"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=153586"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=153586"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=153586"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}