A, B and C are three towns. The bearing of B from A is 045 degrees and the bearing of C from A is 150 degrees. The distance AB is 10km and the distance AC is 15km. Calculate the distance BC.

April 19, 2026Mathematics

ScanSolve AI Answer

April 19, 2026

Here's a step-by-step solution to the problem:

Given:

Village (V) to another village (H): $x$ km on a bearing of $250^\circ$ .
Village (H) to town (T): $\frac{4}{3}x$ km on a bearing of $340^\circ$ . (Note: The question text states $\frac{2}{3}x$ km, but the student's diagram and calculations consistently use $\frac{4}{3}x$ km. We will proceed with $\frac{4}{3}x$ km as per the provided solution steps.)
Village (V) to town (T): $10$ km.

We will use the convention

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Here's a step-by-step solution to the problem: Given: Village (V) to another village (H): x km on a bearing of 250^.

Asked on April 19, 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 April 19, 2026

Here's a step-by-step solution to the problem: Given: Village (V) to another village (H): x km on a bearing of 250^. Village (H) to town (T): (4)/(3)x km on a bearing of 340^. (Note: The question text states (2)/(3)x km, but the student's diagram and calculations consistently use (4)/(3)x km. We will proceed with (4)/(3)x km as per the provided solution steps.) Village (V) to town (T): 10 km. We will use the convention