Apps. and Interpretation for IBDP Maths Ebook 1 | Page 174

Your Practice Set – Applications and Interpretation for IBDP Mathematics
AD � 15 km , ACD ˆ � 58 , ACB ˆ � 56 , and the bearing of A from D is 160 .
(a) Find the length of AC.
(b) Find the area of triangle DAC .
The area of triangle ACD is half the area of triangle ABC.
[3]
[3]
(c) (i) Find the area of the triangle ABC
(d)
(ii)
Hence, find the length of CB.
A man runs from C directly to B and it takes an hour. A woman runs from D
directly to B . It is given that they run at the same speed.
[4]
(i)
(ii)
(iii)
Find the length of DC.
Find the length of BD.
Hence, find the time taken by the woman to finish her journey, giving the
answer in hours.
[6]
3. The following diagram shows the quadrilateral ABCD.
AB � 60 km , DC � 83 km , ACD ˆ � � , ACB ˆ � 83 ,
and the bearing of A from B is 312 .
(a)
Find the length of AC.
(b) Find the area of triangle ABC .
[3]
[3]
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