1. The problem is to calculate the value of $$\frac{20}{\cos 70^\circ}$$ rounded to 1 decimal place. 2. Recall that $$\cos 70^\circ$$ is the cosine of 70 degrees. We use the cosine function from trigonometry. 3. First, find the value of $$\cos 70^\circ$$. Using a calculator, $$\cos 70^\circ \approx 0.3420$$. 4. Substitute this value into the expression: $$\frac{20}{\cos 70^\circ} = \frac{20}{0.3420}$$ 5. Perform the division: $$\frac{20}{0.3420} \approx 58.4795$$ 6. Round this result to 1 decimal place: $$58.5$$ Therefore, the value of $$\frac{20}{\cos 70^\circ}$$ rounded to 1 decimal place is **58.5**.