aishah2909wolfsanmfu aishah2909wolfsanmfu
  • 02-03-2021
  • Mathematics
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Find the size of the angle yzx. Give your answer to 3 significant figures

Find the size of the angle yzx Give your answer to 3 significant figures class=

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jimrgrant1 jimrgrant1
  • 02-03-2021

Answer:

∠ YZX ≈ 19.7°

Step-by-step explanation:

Using the sine ratio in the right triangle

sinZ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{XY}{YZ}[/tex] = [tex]\frac{7.5}{22.3}[/tex] , then

∠ YZX = [tex]sin^{-1}[/tex] ([tex]\frac{7.5}{22.3}[/tex] ) ≈ 19.7° ( to 3 significant figures )

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