$A$, $B$, $C$ and $D$ are four points at sea level. $A$ is due west of $B$, $AB=320$ m

Question

$A$, $B$, $C$ and $D$ are four points at sea level. $A$ is due west of $B$, $AB=320$ m, $AD=132$ m, $BC=180$ m, $\angle ADC=48{}^\circ$. The bearing of $B$ from $C$ is $160{}^\circ$. Calculate the bearing of $C$ from $B$, $\angle ABC$, distance $CA$, $\angle ACD$, area of $\Delta ABC$. A boy stands on a vertical tower of height $35$ m at $C$ and looks at a boat travelling along $AB$. Find the shortest distance of $C$ to the boat. the greatest angle of depression from $C$ to the boat.

Accepted Answer

(a)(i) $340^\circ$ (ii) $70^\circ$ (iii) $309\text{ m}$ (iv) $18.5^\circ$ (v) $27100\text{ m}^2$ (b)(i) $169\text{ m}$ (ii) $11.7^\circ$

3-Dimensional Problem

3-Dimensional Problem

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