The diagram (not drawn to scale) represents four points $A$, $B$, $C$ and $D$ on level groun

Question

The diagram (not drawn to scale) represents four points $A$, $B$, $C$ and $D$ on level ground.
$ABC$ is a straight line with $D$ due east of $A$ and $\angle ABD=112{}^\circ$.
It is also given that $AB=850$ m, $BD=440$ m and $CD=630$ m.
Calculate

the length of $AD$,
$\angle BCD$,
the shortest distance from $D$ to $BC$,
the bearing of $A$ from $C$.

Accepted Answer

(i) $1090\text{ m}$ (ii) $40.4^\circ$ (iii) $408\text{ m}$ (iv) $248.1^\circ$

The Port \(P\) Problem: Tracking Ships \(Q\) and \(R\)

The Port \(P\) Problem: Tracking Ships \(Q\) and \(R\)

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