QuestionGiven the triangle , find the length of side $x$ using the Law of Sines. Round your final answer to 4 decimal places. $$x=$$

Studdy Solution
Calculate the value of $x$ using a calculator and round to 4 decimal places:
1. Calculate $\sin 21^\circ$.
2. Calculate $\sin 29^\circ$.
3. Compute $x = \frac{21 \cdot \sin 21^\circ}{\sin 29^\circ}$.
4. Round the result to 4 decimal places.
$$x \approx \frac{21 \cdot 0.3584}{0.4848}$$ $$x \approx \frac{7.5264}{0.4848}$$ $$x \approx 15.5291$$
The length of side $x$ is approximately:
$$\boxed{15.5291}$$