Answer:
x ≈ 39.2 , y ≈ 34.3
Step-by-step explanation:
Using the sine and tangent ratios in the right triangle
sin29° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{19}{x}[/tex] ( multiply both sides by x )
x × sin29° = 19 ( divide both sides by sin29° )
x = [tex]\frac{19}{sin29}[/tex] ≈ 39.2 ( to 1 dec. place )
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tan29° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{19}{y}[/tex] ( multiply both sides by y )
y × tan29° = 19 ( divide both sides by tan29° )
y = [tex]\frac{19}{tan29}[/tex] ≈ 34.3 ( to 1 dec. place )
