Help me please please

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

3 0

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.

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