Analysis and Approaches for IBDP Maths Ebook 1 | Page 132

Your Practice Set – Analysis and Approaches for IBDP Mathematics
4. The following diagram shows the quadrilateral ABCD.
AB � 80 km , CD � 72 km , CDB ˆ � � , ABD ˆ � 61 ,
and the bearing of D from A is 220 .
(a) Find DB.
(b) Find the area of triangle ABD .
The area of triangle ABD is equal to the area of triangle BCD.
[4]
[3]
(c) Given that � is obtuse, find � .
[4]
(d) A taxi travels from C directly to B , then from B directly to A . Given that the
taxi travels at a maximum speed of 70 km per hour, find the minimum time
required for the taxi to finish the journey, giving the answer to the nearest minute.
[5]
124
SE Production Limited