it is a right triangle ebcase an angle is 90°
so, we can use trigonometric ratios
we will use sine
[tex]\sin (\alpha)=\frac{O}{H}[/tex]
where alpha is the angle, O the opposite side from the angle and H the hypotenuse o the triangle
then, replacing
[tex]\sin (66)=\frac{x}{4}[/tex]
we use the angle 66° becase we need to find x and x is the opposite side from it
now solve the expression for x
[tex]\begin{gathered} x=4\sin (66) \\ \end{gathered}[/tex]
and calculate
[tex]x=3.65[/tex]
The value of x is 3.65m
