Question

Ppplllzzz hhhheeelllllllpppppp ​

Answer 1

m∠XZY≈23.6° (m∠ = measure of angle )

Explanation:

sin(m∠XZY)=
`(opposite)/(hypotenuse)`

sin(m∠XZY)=
`(6)/(15)`

m∠XZY=
`sin^(-1)((6)/(15) )`

m∠XZY≈23.578°

m∠XZY≈23.6°

Answer 2

Z = 23.6 degrees

Explanation:

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

Z = 23.6 degrees