Apps. and Interpretation for IBDP Maths Ebook 1 | Page 160

Your Practice Set – Applications and Interpretation for IBDP Mathematics
3. In the figure, P and Q are two points on the opposite sides of a water well. They lie on
the same horizontal level and at a vertical height of
of the water well. PQ � 6 m, PR � 8 m and QR � 9 m .
h m above a point R at the bottom
(a) Find the size of the angle of depression of R from P .
(b) Find the value of x , the horizontal distance between R and P .
(c) Find the value of h .
[3]
[2]
[2]
4. In the figure, two strings are mounted from the top F of a vertical flagpole FO to the
horizontal ground at points A and B respectively. The angle of depression of A from F
is 29 . A and B are 10 m apart. The length of the string BF is 30 m. A , B , F and O
lie on the same vertical plane.
(a) Write down the size of the angle of elevation of F from A .
(b) Find the angle of elevation of F from B .
(c) Find the height of the vertical flagpole.
[1]
[4]
[2]
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