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  • 22-11-2020
  • Mathematics
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Solve the right triangle shown in the figure. (Round your answers to two decimal places.)

Solve the right triangle shown in the figure Round your answers to two decimal places class=

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xenia168
xenia168 xenia168
  • 22-11-2020

Answer:

Step-by-step explanation:

sin A = [tex]\frac{a}{c}[/tex]

sin 9.4° = [tex]\frac{20.5}{c}[/tex] ⇒ c = (20.5) / (sin 9.4°) ≈ 125.52

tan A = [tex]\frac{a}{b}[/tex]

tan 9.4° = [tex]\frac{20.5}{b}[/tex] ⇒ b = (20.5) / (tan9.4°) ≈ 123.83

m∠B = 90° - 9.4° = 80.6°

m∠C = 90°

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