Question

Which is the appropriate measure of angle YZX?

Answer 1

55.2°

Explanation:

In right ΔXYZ with hypotenuse XZ and opposite side XY to ∠YZX then

Using the sine ratio

sinYZX =
`(opposite)/(hypotenuse)` = (12.4 / 15.1 )

∠YZX =
`sin^(-1)` (12.4 / 15.1 ) ≈ 55.2°