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Find each missing side or angle. Round all answers to the nearest tenth
x=
y=

Find Each Missing Side Or Angle Round All Answers To The Nearest Tenth X Y class=

Sagot :

Answer:

x ≈ 62.7° , y ≈ 12.4

Step-by-step explanation:

Using the sine ratio in the right triangle.

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{24}{27}[/tex] , then

x = [tex]sin^{-1}[/tex] ( [tex]\frac{24}{27}[/tex] ) ≈ 62.7° ( to the nearest tenth )

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Using Pythagoras' identity in the right triangle

y² + 24² = 27²

y² + 576 = 729 ( subtract 576 from both sides )

y² = 153 ( take square root of both sides )

y = [tex]\sqrt{153}[/tex] ≈ 12.4 ( to the nearest tenth )

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