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2. If the bearing of Lethem from Bartica is \( 155^{\circ} \), what is the bearing of Bartica from Lethem? \( \begin{array}{llll}\text { (a) } 025^{\circ} & \text { (b) } 335^{\circ} & \text { (c) } 125^{\circ} & \text { (d) } 090^{\circ}\end{array} \)

Ask by Blake Mcdonald. in Guyana
Mar 09,2025

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The bearing of Bartica from Lethem is \(335^\circ\).

Solution

1. Given the bearing of Lethem from Bartica is \(155^\circ\). 2. The bearing of Bartica from Lethem is found by adding \(180^\circ\) to the given bearing (or subtracting \(180^\circ\) if it exceeds \(360^\circ\)), because the two directions are opposite. 3. Calculate: \[ 155^\circ + 180^\circ = 335^\circ \] 4. Since \(335^\circ\) is less than \(360^\circ\), it is the correct bearing. The correct answer is \(\boxed{335^\circ}\).

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Bonus Knowledge

To find the bearing of Bartica from Lethem when the bearing of Lethem from Bartica is \( 155^{\circ} \), you can use the fact that bearings are measured clockwise from the north. The bearing from Lethem to Bartica is calculated by adding \( 180^{\circ} \) to the original bearing. So, \( 155^{\circ} + 180^{\circ} = 335^{\circ} \). Therefore, the answer is \( 335^{\circ} \), which corresponds to option (b). Understanding bearings can be traced back to navigation and cartography, where sailors and explorers relied on cardinal directions for accurate travel. This knowledge allows them to plot courses on maps and confidently navigate across oceans and continents, laying the groundwork for modern navigation techniques!

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