Two ships are moving along a line due east. The trailing ship has a speed relative to land based observation point of `64.0(km)/(h)`, and the leading ship has a speed of `45.0(km)/(h)` relative to that point. The two ships are in a region of the ocean where the current is moving uniformly due west at `10.0(km)/(h)`. The trailing ship transmits a sonar signal at a frequency of 1200.0 Hz. What frequency is monitored by the leading ship? Use `1520(m)/(s)` as the speed of sound in ocean water.

Explanation

To solve the problem of determining the frequency monitored by the leading ship, we will follow these steps:

### Step 1: Determine the velocities of the ships relative to the medium (water)
1. **Trailing Ship Velocity**:
- The trailing ship has a speed of 64 km/h relative to land.
- The current is moving at 10 km/h due west (opposite to the direction of the ships).
- Therefore, the velocity of the trailing ship relative to the medium (water) is:
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