{"id":3409,"date":"2023-12-23T09:52:53","date_gmt":"2023-12-23T14:52:53","guid":{"rendered":"https:\/\/josmfs.net\/?p=3409"},"modified":"2024-04-05T10:31:15","modified_gmt":"2024-04-05T14:31:15","slug":"distance-to-flag-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2023\/12\/23\/distance-to-flag-problem\/","title":{"rendered":"Distance to Flag Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-3407\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/12\/Distance-to-Flag-Fig2.jpg\" alt=\"\" width=\"200\" height=\"266\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/12\/Distance-to-Flag-Fig2.jpg 527w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/12\/Distance-to-Flag-Fig2-225x300.jpg 225w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>The following puzzle is from the Irishman Owen O\u2019Shea.<\/p>\n<p>\u201cThe figure shows the location of three flags [at A, B, and C] in one of the fields on a neighbor\u2019s farm.\u00a0 The angle ABC is a right angle.\u00a0 Flag A is 40 yards from Flag B.\u00a0 Flag B is 120 yards from flag C.\u00a0 Thus, if one was to walk from A to B and then on to C, one would walk a total of 160 yards.<\/p>\n<p>Now there is a point, marked by flag D, [directly] to the left of flag A.\u00a0 Curiously, if one were to walk from flag A to flag D and then diagonally across to flag C, one would walk a total distance of 160 yards.<\/p>\n<p>The question for our puzzlers is this: how far is it from flag D to flag A?\u201d<\/p>\n<p>This problem has a simple solution.\u00a0 But it also suggests a more advanced alternative approach.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Distance-to-Flag-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/12\/Distance-to-Flag-Problem-231220.pdf\">Distance to Flag Problem<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The following puzzle is from the Irishman Owen O\u2019Shea. \u201cThe figure shows the location of three flags [at A, B, and C] in one of the fields on a neighbor\u2019s farm.\u00a0 The angle ABC is a right angle.\u00a0 Flag A is 40 yards from Flag B.\u00a0 Flag B is 120 yards from flag C.\u00a0 Thus, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[40,263],"class_list":["post-3409","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-analytic-geometry","tag-owen-oshea"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3409","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=3409"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3409\/revisions"}],"predecessor-version":[{"id":3505,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3409\/revisions\/3505"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=3409"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=3409"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=3409"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}