EduSahara™ Assignment
Name : Trigonometry Diagram Problems
Chapter : Trigonometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
In the given figure, △EFG is right angled at F. If FG = 10 cm and ∠G = 30°, find EF and EG
(i)
10
3
4
√
3
cm
&
20
3
√
3
cm
(ii)
10
3
4
√
1
3
cm
&
23
cm
(iii)
10
3
4
√
3
cm
&
23
cm
(iv)
10
3
4
√
3
cm
&
20
cm
(v)
10
3
√
3
cm
&
20
3
√
3
cm
Question
2
2.
In the given figure, △GHI is right angled at H. If HI = 10 cm and ∠I = 45°, find GH and GI
(i)
10
cm
&
10
√
2
cm
(ii)
11
cm
&
20
cm
(iii)
9
cm
&
22
cm
(iv)
11
cm
&
22
cm
(v)
11
cm
&
10
√
2
cm
Question
3
3.
In the given figure, △ABC is right angled at B. If BC = 10 cm and ∠C = 60°, find AB and AC
(i)
10
4
√
3
cm
&
19
cm
(ii)
10
4
√
1
3
cm
&
21
cm
(iii)
10
4
√
3
cm
&
21
cm
(iv)
10
√
3
cm
&
20
cm
(v)
10
4
√
3
cm
&
20
cm
Question
4
4.
In the given figure, △EGF is right angled at F. If EF = 9 cm and ∠G = 30°, find EG
(i)
16
cm
(ii)
17
cm
(iii)
19
cm
(iv)
21
cm
(v)
18
cm
Question
5
5.
In the given figure, △DFE is right angled at E. If DE = 8 cm and ∠F = 30°, find EF
(i)
24
cm
(ii)
12
√
2
cm
(iii)
8
√
3
cm
(iv)
8
cm
(v)
8
√
18
cm
Question
6
6.
In the given figure, △EGF is right angled at F. If EF = 9 cm and ∠G = 30°, find EH
(i)
11
2
cm
(ii)
5
cm
(iii)
7
2
cm
(iv)
17
4
cm
(v)
9
2
cm
Question
7
7.
In the given figure, △BDC is right angled at C. If BC = 9 cm and ∠D = 30°, find DE
(i)
29
2
cm
(ii)
27
4
cm
(iii)
25
2
cm
(iv)
27
2
cm
(v)
27
cm
Question
8
8.
In the given figure, △DFE is right angled at E. If DE = 14 cm and ∠F = 45°, find DF
(i)
28
cm
(ii)
14
√
2
cm
(iii)
7
√
12
cm
(iv)
14
cm
(v)
28
√
3
cm
Question
9
9.
In the given figure, △CED is right angled at D. If CD = 12 cm and ∠E = 45°, find DE
(i)
13
cm
(ii)
12
cm
(iii)
15
cm
(iv)
10
cm
(v)
11
cm
Question
10
10.
In the given figure, △GIH is right angled at H. If GH = 15 cm and ∠I = 45°, find GJ
(i)
15
4
√
12
cm
(ii)
15
2
√
2
cm
(iii)
15
2
cm
(iv)
15
cm
(v)
15
√
3
cm
Question
11
11.
In the given figure, △DFE is right angled at E. If DE = 12 cm and ∠F = 45°, find FG
(i)
6
cm
(ii)
6
√
2
cm
(iii)
3
√
12
cm
(iv)
12
√
3
cm
(v)
12
cm
Question
12
12.
In the given figure, △EGF is right angled at F. If EF = 27 cm and ∠G = 60°, find EG
(i)
18
cm
(ii)
18
√
3
cm
(iii)
18
√
18
cm
(iv)
54
cm
(v)
27
√
2
cm
Question
13
13.
In the given figure, △GIH is right angled at H. If GH = 27 cm and ∠I = 60°, find HI
(i)
9
cm
(ii)
9
√
18
cm
(iii)
9
√
3
cm
(iv)
27
cm
(v)
27
2
√
2
cm
Question
14
14.
In the given figure, △HJI is right angled at I. If HI = 27 cm and ∠J = 60°, find HK
(i)
81
4
√
2
cm
(ii)
27
2
√
18
cm
(iii)
27
2
√
3
cm
(iv)
81
2
cm
(v)
27
2
cm
Question
15
15.
In the given figure, △CED is right angled at D. If CD = 26 cm and ∠E = 60°, find EF
(i)
13
3
√
18
cm
(ii)
13
3
√
3
cm
(iii)
13
3
cm
(iv)
13
2
√
2
cm
(v)
13
cm
Question
16
16.
In the given figure, △GHI is a right angle triangle with ∠I = 90° and HI = 15 cm. P is the mid-point of GI. Find PI
(i)
5
2
√
3
cm
(ii)
5
2
cm
(iii)
5
2
√
18
cm
(iv)
15
2
cm
(v)
15
4
√
2
cm
Question
17
17.
In the given figure, △ABC is a right angle triangle with ∠C = 90° and BC = 15 cm. Q is the mid-point of AC. Find the length of the altitude from C to AB.
(i)
29
4
cm
(ii)
8
cm
(iii)
17
2
cm
(iv)
13
2
cm
(v)
15
2
cm
Question
18
18.
In the given figure, △IJK is a right angle triangle with ∠K = 90° and JK = 16 cm. T is the mid-point of IK. Find TK
(i)
9
cm
(ii)
8
cm
(iii)
7
cm
(iv)
11
cm
(v)
5
cm
Question
19
19.
In the given figure, △DEF is a right angle triangle with ∠F = 90° and EF = 16 cm. Q is the mid-point of DF. Find the length of the altitude from F to DE.
(i)
8
√
2
cm
(ii)
4
√
12
cm
(iii)
16
cm
(iv)
16
√
3
cm
(v)
8
cm
Question
20
20.
In the given figure, △ABC is a right angle triangle with ∠C = 90° and BC = 17 cm. T is the mid-point of AC. Find TC
(i)
17
2
√
18
cm
(ii)
51
2
cm
(iii)
17
2
cm
(iv)
51
4
√
2
cm
(v)
17
2
√
3
cm
Question
21
21.
In the given figure, △FGH is a right angle triangle with ∠H = 90° and GH = 17 cm. P is the mid-point of FH. Find the length of the altitude from H to FG.
(i)
17
2
√
3
cm
(ii)
51
2
cm
(iii)
17
2
cm
(iv)
17
2
√
18
cm
(v)
51
4
√
2
cm
Question
22
22.
In the given figure, if
DF
−
EF
=
2 cm
,
and
DE = 10 cm
,
find
sin
D
(i)
12
13
(ii)
4
5
(iii)
12
11
(iv)
14
13
(v)
10
13
Question
23
23.
In the given figure, if
IK
−
JK
=
2 cm
,
and
IJ = 8 cm
,
find
cos
I
(i)
8
17
(ii)
8
15
(iii)
6
17
(iv)
10
17
(v)
8
19
Question
24
24.
In the given figure, if
JL
−
KL
=
2 cm
,
and
JK = 8 cm
,
find
tan
J
(i)
17
8
(ii)
15
8
(iii)
13
8
(iv)
3
2
(v)
5
2
Question
25
25.
In the given figure, if
FH
+
GH
=
50 cm
,
and
FG = 10 cm
,
find
sin
F
(i)
10
13
(ii)
14
13
(iii)
4
5
(iv)
12
11
(v)
12
13
Question
26
26.
In the given figure, if
HJ
+
IJ
=
18 cm
,
and
HI = 6 cm
,
find
cos
H
(i)
3
7
(ii)
1
5
(iii)
1
(iv)
3
5
Question
27
27.
In the given figure, if
JL
+
KL
=
32 cm
,
and
JK = 8 cm
,
find
tan
J
(i)
15
8
(ii)
3
2
(iii)
5
2
(iv)
17
8
(v)
13
8
Assignment Key
1) (v)
2) (i)
3) (iv)
4) (v)
5) (iii)
6) (v)
7) (iv)
8) (ii)
9) (ii)
10) (ii)
11) (ii)
12) (ii)
13) (iii)
14) (iii)
15) (ii)
16) (i)
17) (v)
18) (ii)
19) (i)
20) (v)
21) (i)
22) (i)
23) (i)
24) (ii)
25) (v)
26) (iv)
27) (i)
