EduSahara™ Assignment
Name : Trigonometry Diagram Problems
Chapter : Trigonometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
In the given figure, △FGH is right angled at G. If GH = 9 cm and ∠H = 30°, find FG and FH
(i)
3
4
√
3
cm
&
18
cm
(ii)
3
4
√
3
cm
&
21
cm
(iii)
3
√
3
cm
&
6
√
3
cm
(iv)
3
cm
&
21
cm
(v)
3
4
√
3
cm
&
6
√
3
cm
Question
2
2.
In the given figure, △CDE is right angled at D. If DE = 9 cm and ∠E = 45°, find CD and CE
(i)
10
cm
&
18
cm
(ii)
9
cm
&
9
√
2
cm
(iii)
10
cm
&
9
√
2
cm
(iv)
8
cm
&
21
cm
(v)
10
cm
&
21
cm
Question
3
3.
In the given figure, △CDE is right angled at D. If DE = 8 cm and ∠E = 60°, find CD and CE
(i)
8
cm
&
18
cm
(ii)
8
4
√
3
cm
&
15
cm
(iii)
8
√
3
cm
&
16
cm
(iv)
8
4
√
3
cm
&
16
cm
(v)
8
4
√
3
cm
&
18
cm
Question
4
4.
In the given figure, △DFE is right angled at E. If DE = 9 cm and ∠F = 30°, find DF
(i)
18
cm
(ii)
16
cm
(iii)
17
cm
(iv)
19
cm
(v)
21
cm
Question
5
5.
In the given figure, △CED is right angled at D. If CD = 9 cm and ∠E = 30°, find DE
(i)
27
cm
(ii)
9
√
3
cm
(iii)
27
2
√
2
cm
(iv)
9
cm
(v)
9
√
18
cm
Question
6
6.
In the given figure, △DFE is right angled at E. If DE = 8 cm and ∠F = 30°, find DG
(i)
4
cm
(ii)
5
cm
(iii)
3
cm
(iv)
2
cm
(v)
7
cm
Question
7
7.
In the given figure, △ACB is right angled at B. If AB = 8 cm and ∠C = 30°, find CD
(i)
14
cm
(ii)
11
cm
(iii)
13
cm
(iv)
12
cm
(v)
9
cm
Question
8
8.
In the given figure, △DFE is right angled at E. If DE = 14 cm and ∠F = 45°, find DF
(i)
14
cm
(ii)
28
√
3
cm
(iii)
7
√
12
cm
(iv)
14
√
2
cm
(v)
28
cm
Question
9
9.
In the given figure, △CED is right angled at D. If CD = 14 cm and ∠E = 45°, find DE
(i)
14
cm
(ii)
15
cm
(iii)
17
cm
(iv)
13
cm
(v)
12
cm
Question
10
10.
In the given figure, △DFE is right angled at E. If DE = 13 cm and ∠F = 45°, find DG
(i)
13
2
√
2
cm
(ii)
13
√
3
cm
(iii)
13
2
cm
(iv)
13
cm
(v)
13
4
√
12
cm
Question
11
11.
In the given figure, △IKJ is right angled at J. If IJ = 16 cm and ∠K = 45°, find KL
(i)
4
√
12
cm
(ii)
8
√
2
cm
(iii)
16
√
3
cm
(iv)
16
cm
(v)
8
cm
Question
12
12.
In the given figure, △GIH is right angled at H. If GH = 26 cm and ∠I = 60°, find GI
(i)
52
3
√
18
cm
(ii)
52
3
√
3
cm
(iii)
52
3
cm
(iv)
52
cm
(v)
26
√
2
cm
Question
13
13.
In the given figure, △EGF is right angled at F. If EF = 23 cm and ∠G = 60°, find FG
(i)
23
2
√
2
cm
(ii)
23
cm
(iii)
23
3
√
3
cm
(iv)
23
3
√
18
cm
(v)
23
3
cm
Question
14
14.
In the given figure, △FHG is right angled at G. If FG = 25 cm and ∠H = 60°, find FI
(i)
25
2
√
3
cm
(ii)
25
2
cm
(iii)
75
2
cm
(iv)
75
4
√
2
cm
(v)
25
2
√
18
cm
Question
15
15.
In the given figure, △BDC is right angled at C. If BC = 27 cm and ∠D = 60°, find DE
(i)
9
2
√
18
cm
(ii)
9
2
cm
(iii)
9
2
√
3
cm
(iv)
27
4
√
2
cm
(v)
27
2
cm
Question
16
16.
In the given figure, △HIJ is a right angle triangle with ∠J = 90° and IJ = 15 cm. S is the mid-point of HJ. Find SJ
(i)
5
2
cm
(ii)
15
2
cm
(iii)
5
2
√
18
cm
(iv)
15
4
√
2
cm
(v)
5
2
√
3
cm
Question
17
17.
In the given figure, △DEF is a right angle triangle with ∠F = 90° and EF = 17 cm. R is the mid-point of DF. Find the length of the altitude from F to DE.
(i)
33
4
cm
(ii)
15
2
cm
(iii)
9
cm
(iv)
17
2
cm
(v)
19
2
cm
Question
18
18.
In the given figure, △ABC is a right angle triangle with ∠C = 90° and BC = 16 cm. R is the mid-point of AC. Find RC
(i)
6
cm
(ii)
11
cm
(iii)
7
cm
(iv)
9
cm
(v)
8
cm
Question
19
19.
In the given figure, △ABC is a right angle triangle with ∠C = 90° and BC = 17 cm. R is the mid-point of AC. Find the length of the altitude from C to AB.
(i)
17
2
√
2
cm
(ii)
17
2
cm
(iii)
17
√
3
cm
(iv)
17
cm
(v)
17
4
√
12
cm
Question
20
20.
In the given figure, △EFG is a right angle triangle with ∠G = 90° and FG = 17 cm. T is the mid-point of EG. Find TG
(i)
51
2
cm
(ii)
17
2
√
3
cm
(iii)
51
4
√
2
cm
(iv)
17
2
cm
(v)
17
2
√
18
cm
Question
21
21.
In the given figure, △CDE is a right angle triangle with ∠E = 90° and DE = 13 cm. Q is the mid-point of CE. Find the length of the altitude from E to CD.
(i)
13
2
cm
(ii)
39
2
cm
(iii)
13
2
√
18
cm
(iv)
39
4
√
2
cm
(v)
13
2
√
3
cm
Question
22
22.
In the given figure, if
JL
−
KL
=
2 cm
,
and
JK = 10 cm
,
find
sin
J
(i)
14
13
(ii)
4
5
(iii)
12
11
(iv)
12
13
(v)
10
13
Question
23
23.
In the given figure, if
DF
−
EF
=
2 cm
,
and
DE = 6 cm
,
find
cos
D
(i)
3
5
(ii)
1
5
(iii)
3
7
(iv)
1
Question
24
24.
In the given figure, if
EG
−
FG
=
2 cm
,
and
EF = 10 cm
,
find
tan
E
(i)
4
(ii)
12
7
(iii)
12
5
(iv)
2
(v)
14
5
Question
25
25.
In the given figure, if
FH
+
GH
=
50 cm
,
and
FG = 10 cm
,
find
sin
F
(i)
12
13
(ii)
12
11
(iii)
10
13
(iv)
4
5
(v)
14
13
Question
26
26.
In the given figure, if
CE
+
DE
=
50 cm
,
and
CD = 10 cm
,
find
cos
C
(i)
5
11
(ii)
3
13
(iii)
1
3
(iv)
5
13
(v)
7
13
Question
27
27.
In the given figure, if
JL
+
KL
=
18 cm
,
and
JK = 6 cm
,
find
tan
J
(i)
2
3
(ii)
4
(iii)
4
5
(iv)
4
3
(v)
2
Assignment Key
1) (iii)
2) (ii)
3) (iii)
4) (i)
5) (ii)
6) (i)
7) (iv)
8) (iv)
9) (i)
10) (i)
11) (ii)
12) (ii)
13) (iii)
14) (i)
15) (iii)
16) (v)
17) (iv)
18) (v)
19) (i)
20) (ii)
21) (v)
22) (iv)
23) (i)
24) (iii)
25) (i)
26) (iv)
27) (iv)
