1. **Problem Statement:** Solve for the distances to the ships offshore given the lighthouse height of 350 feet and angles of depression $\theta$ and $\beta$. 2. **Formula:** The distance to each ship is given by: $$x_\theta = \frac{350}{\tan(\theta)}$$ $$x_\beta = \frac{350}{\tan(\beta)}$$ 3. **Explanation:** The tangent of the angle of depression equals the ratio of the lighthouse height to the horizontal distance to the ship. 4. **Example Calculation:** If you provide specific values for $\theta$ and $\beta$, substitute them into the formulas to find $x_\theta$ and $x_\beta$. This completes the solution for the distances to the ships offshore based on the given angles of depression.