find $hi$.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n$hi = \\square$

Explanation:

Step1: Identify trigonometric ratio

In right triangle $GIH$, $\tan(H) = \frac{GI}{HI}$

Step2: Rearrange to solve for $HI$

$HI = \frac{GI}{\tan(H)}$

Step3: Substitute given values

$GI = \sqrt{37} \approx 6.082$, $\tan(43^\circ) \approx 0.9325$ $HI = \frac{6.082}{0.9325}$

Step4: Calculate the value

$HI \approx 6.5$

Answer:

$6.5$