Mathematics 0580 · IGCSE · Non-right-angled triangles

Non-right-angled triangles — practice question

A plane travels from A to C, then continues from C to B. $AC = 510$ km and $CB = 720$ km. The bearing of C from A is $135^\circ$ and angle $ACB = 40^\circ$.
(a(i))[2]

Find the bearing from C to B.

(a(ii))[2]

Find the bearing from B to C.

(b)[4]

Calculate $AB$ and show that it rounds to $464.7$ km, accurate to 1 decimal place.

(c)[3]

Calculate the measure of angle $ABC$.

Worked solution & mark scheme

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