(a)[1]
Calculate the bearing of $D$ from $A$.
(b)[1]
Calculate the bearing of $A$ from $C$.
(c)[3]
Calculate the distance between $A$ and $B$.
(d)[3]
Calculate the distance between $D$ and $C$.
(e)[4]
A boat starts from $D$ and travels in a straight line to $A$ at constant speed. The journey from $D$ to $A$ takes $3$ hours and $36$ minutes. $X$ is the point on $DA$ that is nearest to $C$. Calculate the time, correct to the nearest minute, that the boat needs to travel from $D$ to $X$.