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SAT Right triangles Question

Focused practice00:00
Question 1 · Medium · MathOctober 2024 Batch 2 · Q20Right triangles and trigonometry · 0 solved
Source image for sat-2024-10-set-1-math-m1-q020.
Source image for sat-2024-10-set-1-math-m1-q020.

In the triangle shown, . What is the value of ?

Fractions and decimals are both accepted. If the answer does not fit, fill the box — you may truncate or round.

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The trap here

SAT SOHCAHTOA: naming the sides from the angle you were given Opposite and adjacent are not fixed sides of a triangle — they swap depending on which angle you are working from. That swap is the trap.