lardne4yfarhasweeth lardne4yfarhasweeth

24-12-2016
Mathematics

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In ABC ,
a = 3, c = 19
A. m

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HomertheGenius HomertheGenius

27-12-2016

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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