Find each measurement indicated. Round your answers to the nearest tenth. Please SHOW WORK!!​

9514 1404 393

  9) 39.7°

  10) insufficient information

  11) 20.0 in

  12) 19.0 m

Step-by-step explanation:

These Law of Sines problems are all worked the same way. For sides a, b, and opposite angles A, B, the relevant relationship is ...

  a/sin(A) = b/sin(B)

This gives rise to formulas for angle and side:

  A = arcsin(a/b·sin(B))

  a = b·sin(A)/sin(B)

If the longest given side is not opposite the largest given angle, there may be two solutions.

9) B = arcsin(8/12.5·sin(87°)) = 39.7°

10) missing a side or angle; insufficient information

11) f = (5 in)·sin(70.4°)/sin(13.6°) = 20.0 in

12) p = (22 m)·sin(59°)/sin(180°-59°-24°) = 19.0 m

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