1. **Stating the problem:** We need to solve the equation $$t = \frac{301.5}{v \cos 25^\circ}$$ for $v$ given a value for $t$. 2. **Formula and explanation:** The formula relates time $t$, velocity $v$, and the cosine of an angle $25^\circ$. We want to isolate $v$. 3. **Isolate $v$:** Multiply both sides by $v \cos 25^\circ$: $$t \times v \cos 25^\circ = 301.5$$ 4. **Divide both sides by $t \cos 25^\circ$ to solve for $v$:** $$v = \frac{301.5}{t \cos 25^\circ}$$ 5. **Substitute $t = 301.5 / (v \cos 25^\circ)$ back into the expression for $v$ to verify consistency:** This confirms the formula is consistent. 6. **Final answer:** $$\boxed{v = \frac{301.5}{t \cos 25^\circ}}$$ This means to find $v$, divide 301.5 by the product of $t$ and $\cos 25^\circ$.