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23 November, 08:25

In ABC,

a = 3, c = 19

A. m

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Answers (1)
  1. 23 November, 10:42
    0
    We will use the Pythagorean theorem:

    b² = 19² - 3² = 361 - 9 = 352

    b = √352 = 18.76 ≈ 18.8

    sin A = 3 / 19 = 0.15789

    m ∠ A = sin ^ (-1) 0.15789 = 9.08° ≈ 9.1°

    m ∠ B = 90° - 9.1° = 80.9°

    Answer:

    A) m∠ A = 9.1°, m∠B = 80.9°, b = 18.8
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