{"id":481,"date":"2021-11-05T12:56:51","date_gmt":"2021-11-05T17:56:51","guid":{"rendered":"https:\/\/blogs.acu.edu\/mu_sigma\/?p=481"},"modified":"2021-11-18T10:31:20","modified_gmt":"2021-11-18T16:31:20","slug":"problem-7-keep-your-distance-nov-5-2021","status":"publish","type":"post","link":"https:\/\/blogs.acu.edu\/mu_sigma\/2021\/11\/05\/problem-7-keep-your-distance-nov-5-2021\/","title":{"rendered":"Problem 7 &#8211; Keep Your Distance &#8211; Nov 5, 2021"},"content":{"rendered":"<h4>Problem 7 &#8211; Keep Your Distance<\/h4>\n<p>We have all seen the following graphic for how people should physically distance from one another during the COVID pandemic.<a href=\"http:\/\/blogs.acu.edu\/mu_sigma\/files\/2021\/11\/Screen-Shot-2021-11-05-at-12.52.03-PM.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-483\" src=\"http:\/\/blogs.acu.edu\/mu_sigma\/files\/2021\/11\/Screen-Shot-2021-11-05-at-12.52.03-PM.png\" alt=\"\" width=\"444\" height=\"370\" srcset=\"https:\/\/blogs.acu.edu\/mu_sigma\/files\/2021\/11\/Screen-Shot-2021-11-05-at-12.52.03-PM.png 444w, https:\/\/blogs.acu.edu\/mu_sigma\/files\/2021\/11\/Screen-Shot-2021-11-05-at-12.52.03-PM-300x250.png 300w, https:\/\/blogs.acu.edu\/mu_sigma\/files\/2021\/11\/Screen-Shot-2021-11-05-at-12.52.03-PM-150x125.png 150w\" sizes=\"(max-width: 444px) 100vw, 444px\" \/><\/a>A savvy math student will notice that this figure cannot possibly be correct.\u00a0 If everyone is standing in the same plane, then it is not possible for all four people to be exactly six feet apart (that&#8217;s just not how squares work right!)<\/p>\n<p>The question you have to answer though is, if all four people are standing on the surface of a sphere is this possible.\u00a0 In other words can you find a sphere of some radius where all 4 people would be exactly six feet apart?\u00a0 To receive full credit for this problem your solution must explain why this is or isn&#8217;t possible and give the radius of the sphere if you claim it is possible.<\/p>\n<p><a href=\"http:\/\/blogs.acu.edu\/mu_sigma\/files\/2021\/11\/Screen-Shot-2021-11-05-at-12.49.53-PM.png\"><br \/>\n<\/a>Solutions are due by 5:00 PM the following Thursday, Nov 11.\u00a0 Please send all solutions to mathpotw@acu.edu.<\/p>\n<p><em>There were no solutions to this problem.\u00a0 The answer is included below.\u00a0<\/em><\/p>\n<p><a href=\"http:\/\/blogs.acu.edu\/mu_sigma\/files\/2021\/11\/Screen-Shot-2021-11-18-at-10.30.16-AM.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter  wp-image-486\" src=\"http:\/\/blogs.acu.edu\/mu_sigma\/files\/2021\/11\/Screen-Shot-2021-11-18-at-10.30.16-AM-490x315.png\" alt=\"\" width=\"739\" height=\"475\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problem 7 &#8211; Keep Your Distance We have all seen the following graphic for how people should physically distance from one another during the COVID pandemic.A savvy math student will notice that this figure cannot possibly be correct.\u00a0 If everyone is standing in the same plane, then it is not possible for all four people [&hellip;]<\/p>\n","protected":false},"author":130,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[181534],"tags":[],"class_list":["post-481","post","type-post","status-publish","format-standard","hentry","category-problem-of-the-week"],"_links":{"self":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/posts\/481","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/users\/130"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/comments?post=481"}],"version-history":[{"count":3,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/posts\/481\/revisions"}],"predecessor-version":[{"id":488,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/posts\/481\/revisions\/488"}],"wp:attachment":[{"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/media?parent=481"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/categories?post=481"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.acu.edu\/mu_sigma\/wp-json\/wp\/v2\/tags?post=481"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}