Pregunta
TERM-2 REVISION WORKSHEET 1 The bearing of \( A \) from \( B \) is \( 137^{\circ} \). Find the bearing of \( B \) from \( A \). [2]
Ask by Pollard Morrison. in Pakistan
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The bearing of \( B \) from \( A \) is \( 317^\circ \).
Solución
1. Write the reverse bearing formula: the bearing of \( B \) from \( A \) is obtained by adding \( 180^\circ \) to the bearing of \( A \) from \( B \) and taking modulo \( 360^\circ \):
\[
\text{Bearing of } B \text{ from } A = (137^\circ + 180^\circ) \mod 360^\circ.
\]
2. Perform the calculation:
\[
137^\circ + 180^\circ = 317^\circ.
\]
Since \( 317^\circ < 360^\circ \), no further adjustment is required.
3. Therefore, the bearing of \( B \) from \( A \) is:
\[
317^\circ.
\]
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Mind Expander
To find the bearing of \( B \) from \( A \), you need to know that bearings are measured clockwise from the north direction. Since the bearing of \( A \) from \( B \) is \( 137^{\circ} \), that means you go \( 137^{\circ} \) clockwise from north at point \( B \) to point \( A \). To find the reverse, we simply add \( 180^{\circ} \) to \( 137^{\circ} \): \[ 137^{\circ} + 180^{\circ} = 317^{\circ}. \] So, the bearing of \( B \) from \( A \) is \( 317^{\circ} \). **Answer:** The bearing of \( B \) from \( A \) is \( 317^{\circ} \).

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