THE-TRIGOMETRIC-RATIO-1-Q.pdf - 1 The Trigometric Ratio 1 1...

1. The Trigometric Ratio 1
1. Given sin(90 - a) = ½ , find without using trigonometric tables the value of cos a (2mks)
2. If
45
24
tan  
,find without using tables or calculator, the value of
 
 
sin cos
cos tan


(3 marks)
3. At point A, David observed the top of a tall building at an angle of 30
o
. After walking for
100meters towards the foot of the building he stopped at point B where he observed it again
at an angle of 60
o
. Find the height of the building
4. Find the value of  , given that ½ sin  = 0.35 for 0
o
≤ θ ≤ 360
o
5. A man walks from point A towards the foot of a tall building 240 m away. After covering
180m, he observes that the angle of elevation of the top of the building is 45
o
. Determine
the angle of elevation of the top of the building from A
6. The table below gives a field book showing the results of a survey of a section of a piece of land
between A and E. All measurements are in metres.
D 33
C 21
B 42
E
95
90
70
30
25
A
F 36
G 25
H 40
(a) Draw a sketch of the land.