Question

Find GH.Write your answer as an integer or as a decimal rounded to the nearest tenth. GH = ___

Answer 1

In triangle GHI, HI is 9 units and the angle G is 66 degrees.

Use the trigonometric ratio of tan to get:

`\begin{gathered} \tan 66=(HI)/(GH) \\ GH=(HI)/(tan66) \\ GH=(9)/(2.246036774) \\ GH=4.007058 \\ GH\approx4 \end{gathered}`

Hence the value of GH is 4 units.