A ship sails on a bearing of 020° for 30 km. Find how far East the ship is from his starting position.
Give your answer correct to 1 decimal place.

The bearing is the angle measured relative to or from the Northern

direction.

The ship's distance East from its starting point is approximately 10.26 km.

Reasons:

The given bearing of the ship's path, θ = 020°

The distance the ship has travelled = 30 km.

Required:

The ship's distance East from its starting position

Solution:

By using trigonometric ratios, we have;

Which gives;

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The ship travels approximately 10.261 meters to the East.

Step-by-step explanation:

At first we introduce a graphical description of the statement as an attachment below. Let suppose that bearing is respect to the North-direction, then the change in position in the East direction is modelled by the following Trigonometric formula:

(1)

Where:

- Distance travelled by the ship, measured in kilometers.

- Bearing angle, measured in sexagesimal degrees.

- Distance component in the east direction, measured in kilometers.

If we know that and , then the distance in the East direction is:

The ship travels approximately 10.261 meters to the East.

10

step-by-step explanation:

7+3=10