Answer:
The value of angle x is;
[tex]40.7^{\circ}[/tex]
Explanation:
We can observe that the triangle is a right angled triangle.
To get the value of angle x, let us apply Trigonometry;
[tex]\begin{gathered} \sin \theta=\frac{opposite}{hypotenuse} \\ \theta=\sin ^{-1}(\frac{opposite}{hypotenuse}) \end{gathered}[/tex]
opposite = 15
hypotenuse = 23
[tex]\begin{gathered} x^{\circ}=\sin ^{-1}(\frac{15}{23}) \\ x^{\circ}=40.7^{\circ} \end{gathered}[/tex]
Therefore, the value of angle x is;
[tex]40.7^{\circ}[/tex]
