\(ABCD\) represents a park on horizontal ground, with \(A\) due north of \(C\) and \(D\). \(AB=55\text{ m}\), \(CD=30\text{ m}\), angle \(BAD=76^\circ\), and angle \(BDC=130^\circ\).
Calculate the bearing of \(D\) from \(B\).[2]
A snake travels along \(BD\). A pest-control officer at the top of a \(10\)-metre building at \(A\) shoots it when it is closest to the building. Find the angle of depression of the snake at that moment.[3]
Find the total area of the park.[4]
Tony claims that the perimeter is greater than 240 m. Decide whether you agree, showing all working.[3]