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To solve this problem, we are asked to find the distance between the two boats \( A \) and \( B \), given the following information from the diagram:

- The plane observes angles of depression of \( 64^\circ \) and \( 54^\circ \) towards boats \( A \) and \( B \), respectively.
- The distance from the plane to boat \( A \) is 3 miles.
  
### Key Steps:
1. **Determine the angles in the triangle**: Since the angles of depression are measured from the horizontal, the angle at boat \( A \) is \( 64^\circ \), and the angle at boat \( B \) is \( 54^\circ \).
   
2. **

Un piloto que vuela sobre el océano determina que los ángulos de depresión hacia dos barcos son 64° y 54°. El avión está a 3 millas del barco ubicado en el punto A. ¿Qué distancia separa los barcos A y B? Redondear la respuesta a la décima de milla más cercana.

Solve a trigonometry problem involving a pilot observing angles of depression of 64° and 54° to two boats. Given the distance from the plane to one boat is 3 miles, calculate the distance between the boats using the Law of Sines.

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