Using trigonometry and the provided bearings, calculate the distance and bearing of B from C. Assume AB=100m and AC=120m.

May 23, 2026Mathematics

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May 23, 2026

Answer

082^\circ - 058^\circ = 24^\circ $$

Here are the solutions to your questions:

Item One.

a) Measure the distance and bearing of B from C Since an accurate scale drawing cannot be performed here, we will use trigonometry (the Cosine Rule and Sine Rule) to calculate the distance and bearing.

Step 1: Determine the angle $\angle BAC$ . The bearing of B from A is $058^\circ$ . The bearing of C from A is $082^\circ$ . The angle between AB and AC at point A is the difference between these bearings. $\angle BAC = 082^\circ - 058^\circ = 24^\circ$

Step 2: Calculate the distance BC using the Cosine Rule. Given:

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Item One. a) Measure the distance and bearing of B from C Since an accurate scale drawing cannot be performed here, we will use trigonometry (the Cosine Rule and Sine Rule) to calculate the distance and bearing.

Asked on May 23, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 23, 2026

Here are the solutions to your questions: Item One. a) Measure the distance and bearing of B from C Since an accurate scale drawing cannot be performed here, we will use trigonometry (the Cosine Rule and Sine Rule) to calculate the distance and bearing. Step 1: Determine the angle BAC. The bearing of B from A is 058^. The bearing of C from A is 082^. The angle between AB and AC at point A is the difference between these bearings. BAC = 082^ - 058^ = 24^ Step 2: Calculate the distance BC using the Cosine Rule. Given: