From the uploaded image, this problem involves calculating the distance $PR$ across the river using trigonometry. The diagram and measurements suggest we use triangle properties, such as the Law of Sines or basic trigonometric relationships.

Observations:

• $PE = 100 \, \text{ft}$, the height of the pole.
• $RC = 225 \, \text{ft}$, the baseline.
• $RE = 145 \, \text{ft}$, the distance from point $R$ to point $E$ along the ground.
• The angles at points $E$ and $C$ are not directly given but may be deducible from geometric relationships.

Would you like me to confirm and calculate $PR$, providing step-by-step reasoning? Let me know if you'd like to extract more details from this problem!