To get the angle at H:
The total angle in a triangle = 180
< H = 180 - (90+ 62)
To get the length HI, the hypotenuse
[tex]\cos \text{ 62 = }\frac{86}{x}[/tex][tex]\begin{gathered} x\text{ = }\frac{86}{\cos \text{ 62}} \\ \\ x\text{ = }\frac{86}{0.4695} \\ x\text{ = 183.185 f}eet \end{gathered}[/tex]The length HI = x = 183. 2 Feet to the nearest tenth