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Find the bearing of \( Y \) from \( X \) to the nearest whole degree. \( \begin{array}{lllll}\text { A } 024 & \text { B } 114^{\circ} & \text { C } 156^{\circ} & \text { D } 204^{\circ} & \text { E } 336^{\circ}\end{array} \)

Ask by Morgan Mckenzie. in Nigeria
Mar 10,2025

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The bearing of \( Y \) from \( X \) is \( 336^\circ \).

Solución

Let’s assume that from point \( Y \) the bearing of \( X \) is given as \( 156^\circ \). The bearing of one point from another is the “reciprocal” of the bearing in the opposite direction. In general, if the bearing from one point to another is \(\theta\), then the reciprocal bearing is found by adding \(180^\circ\) if \(\theta < 180^\circ\) (or subtracting \(180^\circ\) if \(\theta \ge 180^\circ\)). 1. Given that the bearing of \( X \) from \( Y \) is \( 156^\circ \), we add \( 180^\circ \) to find the bearing of \( Y \) from \( X \): \[ 156^\circ + 180^\circ = 336^\circ. \] 2. This angle is already less than \( 360^\circ \), so no further adjustment is needed. Thus, the bearing of \( Y \) from \( X \) is \( 336^\circ \).

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To find the bearing of point \( Y \) from point \( X \), you would typically need the coordinates or angle differences between the two points. However, in typical navigation, the bearing is measured clockwise from the north direction. If the angles you provided are already representative of bearings from a north reference, you can measure accordingly. However, without more context about the relationship between \( Y \) and \( X \), it's difficult to provide an exact answer from these angles alone. Bearing is crucial in navigation and surveying, but always double-check the directions and angles to ensure accuracy! For further practice, think about how bearings change with changes in position and relative direction. Would you adjust your bearing if the landmarks changed, mid-travel? 📍 Keep exploring those angles!

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