Step-by-step explanation:
I understand that you are working on a trigonometry problem and need help with SOHCAHTOA. You are correct that you can use SOHCAHTOA for this problem. Since you have the opposite side (14) and the angle (51°), you would use the sine function. The equation is:
$ \sin(51°) = \frac{14}{x} $
You can rearrange this to solve for x:
$ x = \frac{14}{\sin(51°)} \approx \boxed{17.9} $
If you need a refresher on SOHCAHTOA, it stands for:
- **Sine**: Opposite over Hypotenuse
- **Cosine**: Adjacent over Hypotenuse
- **Tangent**: Opposite over Adjacent
You can use these ratios to find the missing side lengths or angles of a right triangle. For example, if you have the adjacent side and the hypotenuse, you would use the cosine function. If you have the opposite side and the adjacent side, you would use the tangent function. I hope this helps!
