Given data:
The given angle is ∠H= 68°.
The given length is GH=2 cm.
The expression for cos(H) is,
[tex]\begin{gathered} \text{cos(H)}=\frac{GH}{HI} \\ \cos (68^{\circ})=\frac{2\operatorname{cm}}{HI} \\ HI=\frac{\text{2 cm}}{\cos (68^{\circ})} \\ =5.3389\text{ cm} \\ \approx5.34\text{ cm} \end{gathered}[/tex]
Thus, the value of HI is 5.34 cm.
