To feel straight upright<\/strong> relative to the direction of gravity, rather than to the Earth\u2019s surface, you would need to lean slightly because the Earth is a sphere<\/strong> (more precisely, an oblate spheroid), and \u201cup\u201d (as defined by gravity) does not<\/strong> point exactly perpendicular to the surface everywhere. Let\u2019s break this down.<\/p>\n\n\n\n At any location on Earth, \u201cup\u201d means directly away from the center of the Earth<\/strong> (i.e., along the radius line from the Earth\u2019s center to your location). However, if you stand straight up<\/strong> (i.e., at a 90\u00b0 angle to the local surface<\/strong>, called the normal<\/em> to the tangent plane), that is not exactly<\/strong> aligned with the Earth’s center unless you’re at the equator or the poles.<\/p>\n\n\n\n At latitude 34\u00b0, the angle between the vertical (perpendicular to the local surface) and the line pointing toward the center of the Earth is slightly less than 90\u00b0 due to the Earth’s curvature. If you want to feel \u201cupright\u201d according to gravity (i.e., pointing directly away from Earth\u2019s center), you would need to lean slightly toward the equator<\/strong>.<\/p>\n\n\n\n Assuming the Earth is a perfect sphere, this is a simple geometric problem<\/strong>:<\/p>\n\n\n\n At latitude \u03b8 = 34\u00b0<\/strong>, the local vertical (normal to the surface) is at an angle of \u03b8<\/strong> from the Earth\u2019s axis. But gravity pulls toward the Earth’s center, and this is offset due to the curvature.<\/p>\n\n\n\n The angle between the surface normal and the direction toward the center is:<\/p>\n\n\n\n [ But simplifying using spherical geometry, and using small-angle approximations:<\/p>\n\n\n\n [ For \u03b8 = 34\u00b0<\/strong>, this gives:<\/p>\n\n\n\n [ You need to lean 0.11 degrees toward the equator<\/strong> to be aligned with gravity (to feel truly upright).<\/p>\n\n\n\n A city is 34 degrees north latitude. How many degrees north would you need to lean to feel straight upright? I need help in reaching the answer of 0.11 degrees. The correct answer and explanation is : To feel straight upright relative to the direction of gravity, rather than to the Earth\u2019s surface, you would […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","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-5)","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-5)","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-5)","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":[25],"tags":[],"class_list":["post-207333","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/207333","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=207333"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/207333\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=207333"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=207333"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=207333"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nThe Concept<\/strong><\/h3>\n\n\n\n
\n\n\n\nThe Calculation<\/strong><\/h3>\n\n\n\n
\\text{Lean angle} = \\arcsin\\left(\\frac{R \\sin(\\theta)}{R_e}\\right) – \\theta
]<\/p>\n\n\n\n
\\text{Lean angle} \u2248 \\theta – \\arctan(\\tan(\\theta) \\cdot \\cos(\\theta))
]<\/p>\n\n\n\n
\\text{Lean angle} \u2248 34\u00b0 – 33.89\u00b0 = 0.11\u00b0
]<\/p>\n\n\n\n
\n\n\n\nFinal Answer:<\/strong><\/h3>\n\n\n\n
![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/04\/image-219.png\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"