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10-47.

What is the value of in each diagram below?

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

    Use the Law of Cosines:

    For any ,
    .

  1. Triangle with horizontal top side, with labels as follows: right side, x, feet, left side, 15 feet, right top angle, 41 degrees, left top angle, 25 degrees.

    Use the Law of Sines:

    For any ,