Answer:
Option C) 23.6°
Step-by-step explanation:
we know that
In this problem the triangle ABC is a right triangle
see the attached figure to better understand the problem
[tex]sin(A)=\frac{BC}{AB}[/tex] ----> by SOH (opposite side divided by the hypotenuse)
substitute the given values
[tex]sin(A)=\frac{6}{15}[/tex]
using a calculator
[tex]A=sin^{-1}(\frac{6}{15})=23.6^o[/tex]
