{"id":"cb_question_bank:1bd4ff09-9c92-4050-8d47-867d778630b6","source_id":"cb_question_bank","source_item_id":"1bd4ff09-9c92-4050-8d47-867d778630b6","external_id":null,"ibn":"08251-DC","question_id":"902dc959","program":"SAT","module":"math","domain_code":"S","domain":"Geometry and Trigonometry","skill_code":"S.C.","skill":"Right triangles and trigonometry","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"In the figure above, what is the value of tangent A ?","stimulus":"The figure presents right triangle A B C. Side A C is horizontal, with A to the left of C, and side B C is vertical, with B above C. A right angle symbol is indicated at angle C. Side A B is labeled 29. Side A C is labeled 21. Side B C is labeled 20.","stimulus_html":"<div class=\"stimulus_reference \">\n        <div class=\"standalone_image \">\n          <img src=\"/api/assets/7ad86f5f511bfb0c074664aec14b88c7c48bf5b94d41f1b0e53333042331ae1a\" alt=\"The figure presents right triangle A B C. Side A C is horizontal, with A to the left of C, and side B C is vertical, with B above C. A right angle symbol is indicated at angle C. Side A B is labeled 29. Side A C is labeled 21. Side B C is labeled 20.\" width=\"104\" height=\"104\"></div>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">In the figure above, what is the value of <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/916786d0ce48d905afb6cea810fc206cb409327ff92a4bc28a08e8083cca5262\" alt=\"tangent A\"></span></span>?</p>\n","rationale_html":"<p>Choice C is correct. Angle <span class=\"italic\">A</span>&nbsp;is an acute angle in a right triangle, so the value of tan(<span class=\"italic\">A</span>) is equivalent to the ratio of the length of the side opposite&nbsp;angle <span class=\"italic\">A</span>, 20, to the length of the nonhypotenuse side adjacent to angle <span class=\"italic\">A</span>, 21. Therefore,&nbsp; <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/acad43a72f3b4fca83f8241f044153463418c47e2bb369f91927b78a6142907f\" alt=\"tangent A, equals 20 over 21\"></span>.</p><p>Choice A is incorrect. This is the value of sin(<span class=\"italic\">A</span>). Choice B is incorrect. This is the value of cos(<span class=\"italic\">A</span>). Choice D is incorrect. This is the value of tan(<span class=\"italic\">B</span>).</p><p></p>\n","correct_answer":["C"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.635000+00:00","source_updated_at":"2023-08-02T20:25:59.635000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e8471bd1692ee8bd99fde7489aab3f49543c2c7aef6285f8f13e97fc2af425f7\" alt=\"20 over 29\"></span></span>\n          </p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d243ac485e8c68c2f7c4f64a6972c774a4511dc36444ab07f9bc9309c9703375\" alt=\"21 over 29\"></span></span>\n          </p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ccec79418a6fb2f6dd34a48a7632b9693124794de28ac8bbdbeab0c4a296ebd5\" alt=\"20 over 21\"></span></span>\n          </p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5d2ad35727f709a7323f3fe1a50142303e141c28aece584c18143974120efa5d\" alt=\"21 over 20\"></span></span>\n          </p>\n","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}