1. **State the problem:** Solve the equation $$\frac{4}{r} = \cos 43^\circ$$ for $r$ and give the answer to 2 decimal places. 2. **Formula and rules:** To isolate $r$, multiply both sides by $r$ and then divide both sides by $\cos 43^\circ$: $$r = \frac{4}{\cos 43^\circ}$$ Remember that cosine of an angle in degrees can be found using a calculator set to degree mode. 3. **Calculate $\cos 43^\circ$:** $$\cos 43^\circ \approx 0.7314$$ 4. **Substitute and solve for $r$:** $$r = \frac{4}{0.7314} \approx 5.467$$ 5. **Round to 2 decimal places:** $$r \approx 5.47$$ **Final answer:** $r = 5.47$