Mathematics 0580 · IGCSE · Non-right-angled triangles

Non-right-angled triangles — practice question

The diagram places three towns, $U$, $V$ and $W$, on a map. $U$ lies exactly to the west of $V$, and angle $UVW = 125^\circ$. The distances labelled are $UV = 27.3\text{ km}$ and $UW = 62.4\text{ km}$. At $W$ there is a north arrow. Diagram marked NOT TO SCALE.
(main)[4]

Calculate the bearing from $W$ to $U$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\dfrac{27.3}{\sin U W V}=\dfrac{62.4}{\sin125}$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI