sallyyyy78ee sallyyyy78ee
  • 03-06-2020
  • Mathematics
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PLS ANSWER QUICK WITH FULL WORK

PLS ANSWER QUICK WITH FULL WORK class=

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jimrgrant1 jimrgrant1
  • 03-06-2020

Answer:

∠ A = 31.3°, ∠ C = 58.7°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{13}{25}[/tex] , thus

∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{13}{25}[/tex] ) ≈ 31.3° ( to the nearest tenth )

The sum of the 3 angles in a triangle = 180° , thus

∠ C = 180° - (90 + 31.3)° = 180° - 121.3° = 58.7°

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