Question

Find the measure of angle Z

Answer 1

∠Z ≈ 12°

Explanation:

Using the Sine Rule in ΔXYZ

`(x)/(sinx)` =
`(z)/(sinz)`, that is

`(48)/(sin96)` =
`(10)/(sinz)` ( cross- multiply )

48 × sinZ = 10 × sin96° ( divide both sides by 48 )

sinZ =
`(10sin96)/(48)`

Z =
`sin^(-1)` (
`(10sin96)/(48)` ) ≈ 12°