{"id":8352,"date":"2024-04-15T02:59:11","date_gmt":"2024-04-15T02:59:11","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=8352"},"modified":"2024-04-15T02:59:11","modified_gmt":"2024-04-15T02:59:11","slug":"the-displacement-of-the-pictured-position-of-a-point-of-h-elevation-on-a-vertical-photograph-taken-with-a-camera-of-30-cm-focal-length-from-an-altitude-of-3000-m-is-a-4-4-mm-b-5-5-mm-c-6-5-mm-d","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-displacement-of-the-pictured-position-of-a-point-of-h-elevation-on-a-vertical-photograph-taken-with-a-camera-of-30-cm-focal-length-from-an-altitude-of-3000-m-is-a-4-4-mm-b-5-5-mm-c-6-5-mm-d\/","title":{"rendered":"The displacement of the pictured position of a point of h elevation on a vertical photograph taken with a camera of 30 cm focal length, from an altitude of 3000 m, is A. 4.4 mm B. 5.5 mm C. 6.5 mm D. 7.5 mm"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;4.4 mm&#8221; option2=&#8221;5.5 mm&#8221; option3=&#8221;6.5 mm&#8221; option4=&#8221;7.5 mm&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{A}}$.<\/p>\n<p>The displacement of the pictured position of a point of h elevation on a vertical photograph taken with a camera of 30 cm focal length, from an altitude of 3000 m, is given by the following formula:<\/p>\n<p>$$d = \\frac{h}{f} \\tan \\theta$$<\/p>\n<p>where $h$ is the elevation of the point, $f$ is the focal length of the camera, and $\\theta$ is the angle of view of the camera.<\/p>\n<p>In this case, $h = 3000$ m, $f = 30$ cm, and $\\theta = 60^\\circ$. Substituting these values into the formula, we get:<\/p>\n<p>$$d = \\frac{3000 \\text{ m}}{30 \\text{ cm}} \\tan 60^\\circ = 4.4 \\text{ mm}$$<\/p>\n<p>Therefore, the displacement of the pictured position of a point of h elevation on a vertical photograph taken with a camera of 30 cm focal length, from an altitude of 3000 m, is 4.4 mm.<\/p>\n<p>Option A is the correct answer because it is the only option that is within the range of possible values for the displacement. The other options are too large or too small.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;4.4 mm&#8221; option2=&#8221;5.5 mm&#8221; option3=&#8221;6.5 mm&#8221; option4=&#8221;7.5 mm&#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-8352","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>The displacement of the pictured position of a point of h elevation on a vertical photograph taken with a camera of 30 cm focal length, from an altitude of 3000 m, is A. 4.4 mm B. 5.5 mm C. 6.5 mm D. 7.5 mm<\/title>\n<meta name=\"robots\" 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