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Class VI
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Class IX
Class X
ICSE Grade IX - Trigonometrical Ratios
Question
1
1.
A
radio tower
stands vertically on the ground.
From a point on the ground,
the angle of elevation
of the top of the
radio tower
is found to be
60°
.
If the height of the
radio tower
is
70 m
,
find the distance between
the observation point and the foot of the
radio tower
.
35
√
2
m
70
m
70
3
m
70
3
√
3
m
70
3
√
18
m
Question
2
2.
cos
31°
sin
29°
sin
59°
cos
61°
=
-1
1
tan
31°
tan
29°
0
Question
3
3.
In the given figure, △CED is right angled at D. If CD = 9 cm and ∠E = 30°, find CF
5
cm
7
2
cm
9
2
cm
17
4
cm
11
2
cm
Question
4
4.
Given that
12
tan
θ
=
5
, find
cosec
θ
13
12
12
5
12
13
5
13
13
5
Question
5
5.
cos
(
A
−
B
)
=
cos
A
cos
B
+
sin
A
sin
B
cos
A
cos
B
−
sin
A
sin
B
sin
A
cos
B
+
cos
A
sin
B
sin
A
cos
B
−
cos
A
sin
B
Question
6
6.
Given
cos
H
=
15
17
,
find
cot
H
8
17
17
8
17
15
8
15
15
8
Question
7
7.
cot
30°
sin
60°
−
tan
0°
cos
60°
=
5
4
1
2
2
5
2
3
2
Question
8
8.
sin
0°
cosec
60°
sin
30°
−
cot
90°
tan
45°
cos
45°
cosec
90°
sin
45°
sin
0°
−
sin
60°
tan
60°
cos
60°
=
0
2
(
−
1
)
1
(
−
3
)
Question
9
9.
From the given figure,
find
sin
(
90
−
H
)
GH
FG
GH
FH
FG
GH
FG
FH
FH
FG
Question
10
10.
Given that
4
cot
θ
=
3
, find
cos
θ
4
5
3
5
5
4
4
3
5
3
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