SAT Math Practice Question #2555 (Medium) | Test Citadel
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SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2555

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In right triangle $DEF$, angle $F = 90^\circ$, $DE = 13$, and $EF = 5$. What is $\tan D$?
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Geometry & Trig Rule: Always sketch the triangle or circle and check for standard Pythagorean triples (3-4-5, 5-12-13, 7-24-25, 8-15-17).

Masterclass Solution & Distractor Trap Analysis

By the Pythagorean theorem: $DF = \sqrt{13^2 - 5^2} = \sqrt{169 - 25} = 12$. $\tan D = \frac{\text{opposite}}{\text{adjacent}} = \frac{EF}{DF} = \frac{5}{12}$....

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

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