Apps. and Interpretation for IBDP Maths Ebook 1 | Page 104

Your Practice Set – Applications and Interpretation for IBDP Mathematics
4. In a three-dimensional coordinate system with vertical z -axis, the coordinates of the
point P and Q are ( � 16, 8, 24) and (29, � 100, h)
respectively, where h � 24 . It is given
that PQ � 195 .
(a) Find the value of h .
[2]
Q is translated upward by 156 units to reach the point R , such that the triangle PQR is
a right-angled triangle.
(b) Find the angle of depression of Q from P .
P is the mid-point of QS .
[2]
(c) Find the coordinates of S .
[2]
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