Mathematics 4024 · O Level · Non-right-angled triangles
Non-right-angled triangles — practice question
A quadrilateral field is labelled $PQRS$.
A path runs across the field from $P$ to $R$.
$PQ = 280$m, $RS = 146$m and $PR = 325$m.
$S$ lies on a bearing of $042^\circ$ from $P$, $\angle PSR = 108^\circ$ and $\angle RPQ = 38^\circ$.
(a)[4]
Calculate the bearing from $P$ to $R$.
(b(i))[3]
Show that, when rounded to the nearest metre, $QR = 202$m.
(b(ii))[3]
Mia walks at a steady speed of $5.5\,\text{km/h}$.\n\nCalculate how long it takes her to walk from $Q$ to $R$.\nGive the answer in minutes and seconds, correct to the nearest second.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Approximate angle: $67.3^{\circ}$.” …