{"id":"cb_question_bank:66b2a315-253e-45e7-b1b3-62e0a2222ca9","source_id":"cb_question_bank","source_item_id":"66b2a315-253e-45e7-b1b3-62e0a2222ca9","external_id":null,"ibn":"00615-DC","question_id":"55bb437a","program":"SAT","module":"math","domain_code":"S","domain":"Geometry and Trigonometry","skill_code":"S.C.","skill":"Right triangles and trigonometry","difficulty":"H","score_band":7,"answer_type":"spr","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"In the figure above, tangent of B equals the fraction 3 over 4 . If B C equals 15 and D A, equals 4 , what is the length of line segment D E ?","stimulus":"The figure presents right triangle A, B C, with horizontal side A, C. Point B is directly above point A and angle A is a right angle. Point D lies on side A, B and point E lies on side B C. Horizontal line segment D E is drawn and angle D is a right angle.","stimulus_html":"
\n
\n \"The
\n
\n","stem_html":"

In the figure above, \"tangent. If \"B and \"D, what is the length of \"line ?

\n","rationale_html":"

The correct answer is 6. Since \"tangent, \"triangle and \"triangle are both similar to 3-4-5 triangles. This means that they are both similar to the right triangle with sides of lengths 3, 4, and 5. Since \"the, which is 3 times as long as the hypotenuse of the 3-4-5 triangle, the similarity ratio of \"triangle to the 3-4-5 triangle is 3:1. Therefore, the length of \"side (the side opposite to \"angle) is \"3, and the length of \"side (the side adjacent to \"angle) is \"4. It is also given that \"the. Since \"the and \"the, it follows that \"the, which means that the similarity ratio of \"triangle to the 3-4-5 triangle is 2:1 ( \"side is the side adjacent to \"angle). Therefore, the length of \"side, which is the side opposite to \"angle, is \"3.

\n","correct_answer":["6"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.614000+00:00","source_updated_at":"2023-08-02T20:25:59.614000+00:00","options":[],"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}}