To solve for x, we will simply use the trigonometric ratio
[tex]\sin \theta=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]From the figure given;
θ=24.3 opposite=2.06 and hypotenuse =x
substitute the values and evaluate
[tex]\sin 24.3=\frac{2.06}{x}[/tex]cross-multiply
x sin24.3 = 2.06
Divide both-side by sin24.3
[tex]x=\frac{2.06}{\sin 24.3}[/tex][tex]x\approx5.0[/tex]