In a right triangle $FGH$, if the length of $FH$ is $18$ units and angle $G$ is $30°$, what is the length of side $FG$ opposite angle $H$?

• A. $12$ units
• B. $9$ units
• C. $18$ units
• D. $6$ units

Answer: (B)

Verified step by step guidance

1. Identify the right triangle FGH and note that angle G is 30° and side FH (the hypotenuse) is 18 units.
2. Recall that in a right triangle, the side opposite a 30° angle is half the length of the hypotenuse.
3. Use the formula for the side opposite the 30° angle: \(\text{opposite} = \frac{1}{2} \times \text{hypotenuse}\).
4. Substitute the given hypotenuse length into the formula: \(\text{opposite} = \frac{1}{2} \times 18\).
5. Calculate the length of side FG, which is opposite angle H, by simplifying the expression (do not provide the final numeric answer here).