{"id":21384,"date":"2019-05-21T03:04:20","date_gmt":"2019-05-20T21:34:20","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21384"},"modified":"2022-11-16T21:37:26","modified_gmt":"2022-11-16T16:07:26","slug":"the-figure-above-represents-an-antenna-tower-with-two-guy-wires-that-extend-from-point-q-40-feet-above-the-ground-to-points-p-and-r-as-shown-if-the-two-wires-have-equal-length-approximately-what-i","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/the-figure-above-represents-an-antenna-tower-with-two-guy-wires-that-extend-from-point-q-40-feet-above-the-ground-to-points-p-and-r-as-shown-if-the-two-wires-have-equal-length-approximately-what-i\/","title":{"rendered":"The figure above represents an antenna tower with two guy wires that extend from point Q, 40 feet above the ground, to points P and R as shown. If the two wires have equal length, approximately what is the total length, in feet, of the two wires?  &#8211; OGQR 2020 Question #97 with Solution"},"content":{"rendered":"<span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\">2<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span><div class='two_third'>\n\t\t\t\t\t<h2>OGQR 2020: Question No. 97<\/h2>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-21388 aligncenter\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/97.png\" alt=\"\" width=\"227\" height=\"185\"><\/p>\n<p>The figure above represents an antenna tower with two guy wires that extend from point Q, 40 feet above the ground, to points P and R as shown. If the two wires have equal length, approximately what is the total length, in feet, of the two wires?<\/p>\n\t\t\t\t<\/div>\n<div class='one_third et_column_last'>\n\t\t\t\t\t<table>\n<tbody>\n<tr>\n<td width=\"301\">Source<\/td>\n<td width=\"301\">OGQR 2020<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Type<\/td>\n<td width=\"301\">Problem Solving<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Topic<\/td>\n<td width=\"301\">Geometry<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Sub-Topic<\/td>\n<td width=\"301\">Triangles<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Difficulty<\/td>\n<td width=\"301\">Medium<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\t\t\t\t<\/div><div class='clear'><\/div>\n<h3><\/h3>\n<h3>Solution<\/h3>\n<h4><strong><u>Given<\/u><\/strong><\/h4>\n<p>In this question, we are given<\/p>\n<ul>\n<li>The given figure represents an antenna tower with two guy wires that extend from point Q, 40 feet above the ground, to points P and R as shown.<\/li>\n<li>The two wires have equal length.<\/li>\n<\/ul>\n<h4><strong><u>To Find<\/u><\/strong><\/h4>\n<p>We need to determine<\/p>\n<ul>\n<li>The total approximate length, in feet, of the two wires.<\/li>\n<\/ul>\n<h4><strong><u>Approach &amp; Working<\/u><\/strong><\/h4>\n<p>As the lengths of two wires are same, PQ = QR.<\/p>\n<p>Hence, PQR is an isosceles triangle.<\/p>\n<ul>\n<li>In an isosceles triangle, perpendicular from the top vertex to the base bisects the base.<\/li>\n<li>Therefore, each of the two right-angled triangles has a base of 30 feet.<\/li>\n<\/ul>\n<p>Hence, we can say<\/p>\n<ul>\n<li>QR<sup>2<\/sup> = 30<sup>2<\/sup> + 40<sup>2<\/sup> = 50<sup>2<\/sup><\/li>\n<\/ul>\n<p>Or, QR = 50<\/p>\n<p>Thus, the length of the two wires combined = (50 + 50) feet = 100 feet<\/p>\n<p>Hence, the correct answer is option C.<\/p>\n\n\n<p><strong>Begin your GMAT preparation with the <a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">only prep company that has delivered more 700+ scores than any other GMAT club partner<\/a>. Achieve GMAT 740+ with our AI driven tools that you personalized feedback at every step of your GMAT journey. Take our <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">free trial<\/a> today!<\/strong><\/p>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-c50cf9f2-453f-4663-a28e-6a783b0eace3\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium ub-button-flex-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-block-btn\">Sign up for a Free Trial<\/span>\n    <\/div><\/a><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>Solution Given In this question, we are given The given figure represents an antenna tower with two guy wires that extend from point Q, 40 feet above the ground, to points P and R as shown. The two wires have equal length. To Find We need to determine The total approximate length, in feet, of [&hellip;]<\/p>\n","protected":false},"author":102413,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","ub_ctt_via":""},"categories":[104,44,94,60,100],"tags":[],"featured_image_src":null,"author_info":{"display_name":"Ashutosh","author_link":"https:\/\/e-gmat.com\/blogs\/author\/ashutoshe-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.1.1 (Yoast SEO v17.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The figure above represents an antenna tower with two guy wires that extend from point Q, 40 feet above the ground, to points P and R as shown. If the two wires have equal length, approximately what is the total length, in feet, of the two wires? - OGQR 2020 Question #97 with Solution<\/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:\/\/e-gmat.com\/blogs\/the-figure-above-represents-an-antenna-tower-with-two-guy-wires-that-extend-from-point-q-40-feet-above-the-ground-to-points-p-and-r-as-shown-if-the-two-wires-have-equal-length-approximately-what-i\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The figure above represents an antenna tower with two guy wires that extend from point Q, 40 feet above the ground, to points P and R as shown. 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