Answer:
36.1 feet.
Explanation:
From the diagram:
• The side length ,opposite ,angle 31° = x
,• The side length ,adjacent to ,angle 31° = 60
Recall from trigonometry that:
[tex]\tan \theta=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]This implies that:
[tex]\tan 31=\frac{\text{x}}{\text{6}0}[/tex]Cross multiply:
[tex]\begin{gathered} x=60\times\tan 31\degree \\ x=36.1\text{ feet} \end{gathered}[/tex]The length of HI is 36.1 feet (to the nearest tenth of a foot).
