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 )
------------------------------------------------------------------
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 )
