Apps. and Interpretation for IBDP Maths Ebook 1 | Page 175

The area of triangle ACD is 1.5 times the area of triangle ABC.
(c) Given that � is acute, find � .
[4]
(d) Car P travels from B directly to C , then from C directly to D . Car Q travels
from B directly to D . The speed of Car P is 50 km per hour. Given that the time
required from the two cars to finish their journey is the same, find the speed of
Car Q .
[5]
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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 the length of 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]
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