it is a right triangle ebcase an angle is 90°
so, we can use trigonometric ratios
we will use sine
![\sin (\alpha)=(O)/(H)](https://img.qammunity.org/2023/formulas/mathematics/college/8lgzvhcyzu0fwcf5lawpf7gbultfcj2zb2.png)
where alpha is the angle, O the opposite side from the angle and H the hypotenuse o the triangle
then, replacing
![\sin (66)=(x)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/4c230ijntmgbxrvqgccioyahivgeuviqmd.png)
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
![\begin{gathered} x=4\sin (66) \\ \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/uf3gtabe81owmdm83ttiwgvk2huiw0hwgo.png)
and calculate
![x=3.65](https://img.qammunity.org/2023/formulas/mathematics/college/hmtezvnfi9kvqwjqzpib8g7k1be0t9k374.png)
The value of x is 3.65m