Respuesta :

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]