ACT Math Practice Question #1412 (Medium (31)) | Test Citadel
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ACT Math Difficulty: Medium (31)

Digital ACT Math Practice Question #1412

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In triangle PQR, the measure of angle P is 45°, the measure of angle Q is 30°, and the side opposite angle Q has length 12. What is the length of side p, which is opposite angle P?
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p = 12 * sin(45°) / sin(30°) = 12 * (sqrt(2)/2) / (1/2) = 12*sqrt(2).

Masterclass Solution & Distractor Trap Analysis

Law of Sines: p / sin(45°) = 12 / sin(30°) -> p / (sqrt(2)/2) = 12 / (1/2) = 24 -> p = 24 * sqrt(2)/2 = 12*sqrt(2)....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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