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10-47.

What is the value of in each diagram below?

  1. Triangle labeled as follows: base, 35 feet, left side, x feet, right side, 43 feet, right base angle, 50 degrees.

    Use the Law of Cosines:

    For any ,
    .

  1. Triangle labeled as follows: left side, x, feet, right side, 15 feet, left base angle, 41 degrees, right base angle, 25 degrees.

    Use the Law of Sines:

    For any ,