{"id":"cb_practice_pdf:t10-math-m2-q15","source_id":"cb_practice_pdf","source_item_id":"t10-math-m2-q15","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":null,"form_id":"cb_practice_pdf:test-10","module_number":2,"position":15,"stem":"RST In right triangle, the sum of the measures of angle R and angle S is 90 degrees. The value of sin(R) cos(S) is 15/4. What is the value of?","stimulus":"","stimulus_html":null,"stem_html":"<p>RST In right triangle, the sum of the measures of angle R and angle S is 90 degrees. The value of sin(R) cos(S) is 15/4. What is the value of?</p>","rationale_html":"<p>Choice B is correct. The sine of any acute angle is equal to the cosine of its complement. It’s given that in right triangle RST, the sum of the measures of 90 angle R and angle S is degrees. Therefore, angle R and angle S are sin cos complementary, and the value of R is equal to the value of S. It’s given that sin 15 cos 15 the value of R is 4 , so the value of S is also 4 . tan Choice A is incorrect. This is the value of S. Choice C is incorrect. This is the 1 1 value of cos . Choice D is incorrect. This is the value of tan . S S</p>","correct_answer":["B"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>15/15</p>","ord":0},{"label":"B","content_html":"<p>15/4</p>","ord":1},{"label":"C","content_html":"<p>(4 15)/15 15</p>","ord":2},{"label":"D","content_html":"","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}