{"id":"act_quizme:math:q2:06","source_id":"act_quizme","source_item_id":"math-q2-06","external_id":"8bf47aaf5def8db8","program":"ACT","section":"math","category_code":null,"category":null,"subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":6,"scored":true,"layout_warning":null,"stem":"For an angle with measure alpha α in a right triangle, sine of alpha = 5 over 13 sin α = 5 13 and tangent of alpha = 5 over 12 tan α = 5 12 . What is the value of cosine of alpha cos α ?","stimulus":"","stimulus_html":null,"stem_html":"<div class=\"math-question-wrap\"> <p>For an angle with measure&nbsp;<span class=\"visually-hidden\">alpha</span> <math class=\"srTransform\"> <mi>α</mi> </math>&nbsp;in a right triangle,&nbsp;<span class=\"visually-hidden\">sine of alpha = 5 over 13</span> <math class=\"srTransform\"> <mi>sin</mi> <mi>α</mi> <mo>=</mo> <mfrac> <mn>5</mn> <mn>13</mn> </mfrac> </math>&nbsp;and <span style=\"white-space: nowrap;\"><span class=\"visually-hidden\">tangent of alpha = 5 over 12</span> <math class=\"srTransform\"> <mi>tan</mi> <mi>α</mi> <mo>=</mo> <mfrac> <mn>5</mn> <mn>12</mn> </mfrac> </math>.</span> What is the value of <span style=\"white-space: nowrap;\"><span class=\"visually-hidden\">cosine of alpha</span><math class=\"srTransform\"> <mi>cos</mi> <mi>α</mi> </math>?</span> </p> </div> <div> <div class=\"math-answer-select-wrap\"> </div></div>","rationale_html":null,"correct_answer":["F"],"equiv_key":"508396015c1c0e33722c66eb","has_media":false,"has_mathml":true,"has_table":false,"section_label":"Mathematics","options":[{"label":"F","content_html":"<p><span>12 over 13</span> 12 13</p>","ord":0},{"label":"G","content_html":"<p><span>12 over the square root of 194</span> 12 194</p>","ord":1},{"label":"H","content_html":"<p><span>12 over the square root of 119</span> 12 119</p>","ord":2},{"label":"J","content_html":"<p><span>13 over 12</span> 13 12</p>","ord":3}],"passage":null,"attribution":{"source_id":"act_quizme","source_name":"ACT QuizMe official practice questions","rights_holder":"ACT Education Corp.","canonical_url":"https://quizme.act.org/","retrieved_from":"https://quizme.act.org/","attribution":"Official ACT practice questions © ACT Education Corp., from the QuizMe practice quizzes at quizme.act.org.","disclaimer":"ACT® is a registered trademark of ACT Education Corp., which is not affiliated with, does not sponsor, and does not endorse this project.","license":"ACT Education Corp. copyright. Published free on the public web; not licensed for redistribution.","redistributable":false,"item_count":78},"equivalents":[]}