Right Triangles and Trigonometry

SAT Math· difficulty 2/5

In a 30-60-90 triangle, the side opposite the 30° angle has length 4. What is the length of the side opposite the 60° angle?

  • A

    434\sqrt{3}

    check_circle
  • B

    838\sqrt{3}

  • C

    424\sqrt{2}

  • D

    8

Explanation

In a 30-60-90 triangle, the ratio is 1:sqrt3:21:\\sqrt{3}:2. The side opposite 60° is sqrt3\\sqrt{3} times the side opposite 30°, so it's 4sqrt34\\sqrt{3}.

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