Subjects geometry

Bearing Distance

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Bearing Distance


1. The problem involves finding the bearing of point A from point B, given a scale drawing where 1 cm represents 100 m. 2. From the description, point A is at the bottom right and point B is at the top left, with north indicated vertically upwards from both points. 3. To find the bearing of A from B, measure the angle clockwise from north at B to the line segment BA. 4. Assume the bearing angle is measured as $\theta$. Using the scale, and knowing positions, calculate $\theta$ geometrically or given coordinates if available. 5. The bearing is expressed as an angle in degrees clockwise from north, so the final answer for (a) is the bearing $\theta^\circ$. 6. For (b), point C lies 450 m from B on a bearing of 150°. 7. Convert the distance to centimeters on the diagram: $$450 \text{ m} = 4.5 \text{ cm}$$ since 1 cm represents 100 m. 8. From point B, draw a line at a 150° angle clockwise from north for 4.5 cm to locate point C. 9. Mark point C with a cross (x) at this position on the drawing. Final answers: (a) Bearing of A from B is $\theta^\circ$ (value depends on measurement). (b) Point C is drawn 4.5 cm from B at 150° bearing, marked with an x.