You are the navigator of a ship at sea. You receive radio signals from two transmitters A and B, which are 97.0 km apart, one due south of the other. The direction finder shows you that transmitter A is at a heading of 28° south of east from the ship, while transmitter B is due east. Calculate the distance between your ship and transmitter B. 182.43 Draw a sketch of the situation, showing the locations of the boat and the two transmitters. Use what you know about the angles and distances to apply trigonometric relationships. еВook

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You are the navigator of a ship at sea. You receive radio signals from two transmitters A and B, which are 97.0 km apart, one due south of the other. The direction finder
shows you that transmitter A is at a heading of 28° south of east from the ship, while transmitter B is due east. Calculate the distance between your ship and transmitter B.
182.43
x m
Draw a sketch of the situation, showing the locations of the boat and the two transmitters. Use what you know about the angles and distances to apply trigonometric
relationships.
eBook
Transcribed Image Text:You are the navigator of a ship at sea. You receive radio signals from two transmitters A and B, which are 97.0 km apart, one due south of the other. The direction finder shows you that transmitter A is at a heading of 28° south of east from the ship, while transmitter B is due east. Calculate the distance between your ship and transmitter B. 182.43 x m Draw a sketch of the situation, showing the locations of the boat and the two transmitters. Use what you know about the angles and distances to apply trigonometric relationships. eBook
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Step 1

Given:

Radio signals are received from two transmitters A and B, 

distance between A and B is d=97.0 km, one due south of the other.

The transmitter A is at a heading of 28° south of east from the ship, while B is due east.

To find:

The distance between your ship and transmitter B.

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