### Mathematics Past Questions

21
A man 1.7m tall observes a bird on top of a tree at an angle of 300. if the distance between the man's head and the bird is 25m, what is the height of the tree?
• A. 26.7m
• B. 14.2m
• C. $$1.7+(25\frac{\sqrt{3}}{3}m$$
• D. $$1.7+(25\frac{\sqrt{2}}{2}m$$
22
In ∆MNO, MN = 6 units, MO = 4 units and NO = 12 units. If the bisector of and M meets NO at P, calculate NP.
• A. 4.8 units
• B. 7.2 units
• C. 8.0 units
• D. 18.0 units
23
Find the tangent to the acute angle between the lines 2x+y = 3 and 3x-2y = 5.
• A. -7/4
• B. 7/8
• C. 7/4
• D. 7/2
24
From a point P, the bearings of two points Q and R are N670W and N230E respectively. If the bearing of R from Q is N680E and PQ = 150m, calculate PR
• A. 120m
• B. 140m
• C. 150m
• D. 160m
25
What is missing in the last grid in the drawing shown?
• A. A
• B. B
• C. C
• D. D
• E. E