Questions: What compass heading represents 40° east of south?

What compass heading represents 40° east of south?
Transcript text: What compass heading represents $40^{\circ}$ east of south?
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Solution

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Solution Steps

To find the compass heading that represents \(40^\circ\) east of south, we start from the south direction, which is \(180^\circ\) on a compass. We then move \(40^\circ\) towards the east, which means we subtract \(40^\circ\) from \(180^\circ\). The resulting angle will give us the compass heading.

Step 1: Identify the South Direction

The south direction corresponds to an angle of \(180^\circ\) on a compass.

Step 2: Calculate the Eastward Adjustment

To find the heading that is \(40^\circ\) east of south, we subtract \(40^\circ\) from \(180^\circ\): \[ \text{Compass Heading} = 180^\circ - 40^\circ = 140^\circ \]

Final Answer

The compass heading that represents \(40^\circ\) east of south is \\(\boxed{140^\circ}\\).

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