Respuesta :

Answer:

23.6°

Step-by-step explanation:

to understand the solving steps

you need to know about

  • trigonometry i.g sin(x)=opp/hypo
  • PEMDAS

given:

  1. opp:6
  2. hypo:15

to find:

  • xyz angle

let's solve:

[tex]let \: xyz \: angle \: be \: \alpha [/tex]

[tex]according \: to \: the \: question[/tex]

[tex] \sin( \alpha ) = \frac{xy}{zy} [/tex]

[tex] \sin( \alpha ) = \frac{6}{15} [/tex]

[tex] \alpha = asin( \frac{6}{15} )[/tex]

[tex] \alpha = {23.6}^{o} [/tex]

therefore

xyz angle=23.6°