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Determine the angle ACB.

April 2, 2026Mathematics

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Part i) Calculate the distance between A and B

Determine the angle $\angle ACB$ .
The bearing of B from C is $254^\circ$ .
The bearing of A from C is $344^\circ$ .
The angle $\angle ACB$ is the difference between these two bearings:
$\angle ACB = 344^\circ - 254^\circ = 90^\circ$
Use the Pythagorean Theorem to find the distance AB.
Since $\angle ACB = 90^\circ$ , $\triangle ABC$ is a right-angled triangle with the right angle at C.
Given $AC = 78$ m and $

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