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Starting at point a, a ship sails 18.5 km on a bearing of 189 degrees, then turns and sails 47.8 km on a bearing of 317 degrees. find the distance of the ship from point a

Respuesta :

The distance of the ship from point A is 39.2 km

Bearing and Distances

From the question, we are to determine the distance of the ship from point A

In the diagram, the distance of the ship from point A is /SA/

Using the law of cosines, we can write that

/SA/² = 18.5² + 47.8² - 2× 18.5×47.8 cos(52°)

/SA/² = 342.25 + 2284.85 - 1088.85888526

/SA/² = 1538.24111474

/SA/ = √1538.24111474

/SA/ = 39.2204

/SA/ ≅ 39.2 km

Hence, the distance of the ship from point A is 39.2 km

Learn more on Bearing and Distances here: https://brainly.com/question/23468484

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