{"id":8143,"date":"2024-04-15T02:55:46","date_gmt":"2024-04-15T02:55:46","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=8143"},"modified":"2024-04-15T02:55:46","modified_gmt":"2024-04-15T02:55:46","slug":"if-the-intercept-on-a-vertical-staff-is-ob-served-as-0-75-m-from-a-tacheometer-the-horizontal-distance-between-tacheometer-and-staff-station-is-a-7-5-m-b-25-m-c-50-m-d-75-m","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-the-intercept-on-a-vertical-staff-is-ob-served-as-0-75-m-from-a-tacheometer-the-horizontal-distance-between-tacheometer-and-staff-station-is-a-7-5-m-b-25-m-c-50-m-d-75-m\/","title":{"rendered":"If the intercept on a vertical staff is ob-served as 0.75 m from a tacheometer, the horizontal distance between tacheometer and staff station is A. 7.5 m B. 25 m C. 50 m D. 75 m"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;7.5 m&#8221; option2=&#8221;25 m&#8221; option3=&#8221;50 m&#8221; option4=&#8221;75 m&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{B. }25\\text{ m}}$.<\/p>\n<p>The horizontal distance between the tacheometer and the staff station is equal to the tangent of the angle of elevation times the intercept on the staff. In this case, the angle of elevation is 45 degrees, and the intercept on the staff is 0.75 m. Therefore, the horizontal distance is $0.75 \\times \\tan(45^\\circ) = 25\\text{ m}$.<\/p>\n<p>Option A is incorrect because it is the square of the correct answer. Option C is incorrect because it is the square root of the correct answer. Option D is incorrect because it is the product of the correct answer and the sine of the angle of elevation.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;7.5 m&#8221; option2=&#8221;25 m&#8221; option3=&#8221;50 m&#8221; option4=&#8221;75 m&#8221; correct=&#8221;option3&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[654],"tags":[],"class_list":["post-8143","post","type-post","status-publish","format-standard","hentry","category-surveying","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>If the intercept on a vertical staff is ob-served as 0.75 m from a tacheometer, the horizontal distance between tacheometer and staff station is A. 7.5 m B. 25 m C. 50 m D. 75 m<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/if-the-intercept-on-a-vertical-staff-is-ob-served-as-0-75-m-from-a-tacheometer-the-horizontal-distance-between-tacheometer-and-staff-station-is-a-7-5-m-b-25-m-c-50-m-d-75-m\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If the intercept on a vertical staff is ob-served as 0.75 m from a tacheometer, the horizontal distance between tacheometer and staff station is A. 7.5 m B. 25 m C. 50 m D. 75 m\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;7.5 m&#8221; option2=&#8221;25 m&#8221; option3=&#8221;50 m&#8221; option4=&#8221;75 m&#8221; correct=&#8221;option3&#8243;]\" \/>\n<meta property=\"og:url\" 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