Answer:
m∠XZY≈23.6° (m∠ = measure of angle )
Step-by-step explanation:
sin(m∠XZY)=[tex]\frac{opposite}{hypotenuse}[/tex]
sin(m∠XZY)=[tex]\frac{6}{15}[/tex]
m∠XZY=[tex]sin^{-1}(\frac{6}{15} )[/tex]
m∠XZY≈23.578°
m∠XZY≈23.6°
Z = 23.6 degrees
sin theta = opposite side/ hypotenuse
sin Z = XY / YZ
sin Z = 6/15
Take the inverse sin of each side
sin^-1 (sin Z) = sin ^-1 ( 6/15)
Z =23.57817848
To one decimal place
