Question

Help me please please​

Answer 1

Answer:

  3.88 nm

Step-by-step explanation:

The angle at Port Latta between the actual direction of travel and the destination at Lookout Point is 90° -75° = 15°. The sine function relates the angle, the side opposite, and the hypotenuse of a right triangle, so you have ...

  sin(15°) = (distance to Lookout Point)/(15 nm)

Solving for the desired distance, we have ...

  distance to Lookout Point = (15 nm)sin(15°) = 3.88 nm

The yacht is 3.88 nautical miles from Lookout Point.