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Ipatiy [6.2K]
2 years ago
10

A ship is stationary at sea.

Mathematics
1 answer:
Leni [432]2 years ago
8 0

The distance of the yacht from the ship is 35 km

<h3>How to determine the distance?</h3>

See attachment for the diagram that represents the given parameters.

The distance of the yacht from the ship is then calculated using the following law of cosine.

YS^2 = ST^2 + YT^2 - 2 * ST * YT * cos(T)

This gives

YS^2 = 24^2 + 12^2 - 2 * 24 * 12 * cos(155)

Evaluate the exponents and the products

YS^2 = 576 + 144 + 522

Evaluate the sum

YS^2 = 1242

Take the square root of both sides

YS = 35

Hence, the distance of the yacht from the ship is 35 km

Read more about law of cosine at:

brainly.com/question/4372174

#SPJ1

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