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find gh. write your answer as an integer or as a decimal rounded to the…

Question

find gh.
write your answer as an integer or as a decimal rounded to the nearest tenth.
gh =

Explanation:

Step1: Identify tangent ratio

$\tan(\angle G) = \frac{FH}{GH}$

Step2: Rearrange for GH

$GH = \frac{FH}{\tan(61^\circ)}$

Step3: Substitute and calculate

$GH = \frac{5.4}{\tan(61^\circ)} \approx \frac{5.4}{1.8040} \approx 3.0$

Answer:

$3.0$