Given:
Find-:
The value of "x"
Explanation-:
Use trigonometric property:
[tex]\sin\theta=\frac{\text{ Perpendicular}}{\text{ Hypotenuse}}[/tex]
In triangle ABC
[tex]\begin{gathered} AB=\text{ Hypotenuse} \\ \\ BC=\text{ Perpendicular} \end{gathered}[/tex]
Angle is "x"
[tex]\begin{gathered} \sin x=\frac{BC}{AB} \\ \\ \sin x=\frac{4}{19} \\ \\ x=\sin^{-1}(\frac{4}{19}) \\ \\ \end{gathered}[/tex]
The angle "x" is:
[tex]\begin{gathered} x=\sin^{-1}(\frac{4}{19}) \\ \\ x=\sin^{-1}(0.2105) \\ \\ x=12.15^{\circ} \end{gathered}[/tex]
The angle is 12.15
