EduSahara™ Assignment
Name : Trigonometry Diagram Problems
Chapter : Trigonometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
In the given figure, △BCD is right angled at C. If CD = 10 cm and ∠D = 30°, find BC and BD
(i)
10
3
4
√
3
cm
&
20
3
√
3
cm
(ii)
10
3
cm
&
23
cm
(iii)
10
3
√
3
cm
&
20
3
√
3
cm
(iv)
10
3
4
√
3
cm
&
20
cm
(v)
10
3
4
√
3
cm
&
23
cm
Question
2
2.
In the given figure, △ABC is right angled at B. If BC = 10 cm and ∠C = 45°, find AB and AC
(i)
11
cm
&
10
√
2
cm
(ii)
11
cm
&
23
cm
(iii)
8
cm
&
23
cm
(iv)
10
cm
&
10
√
2
cm
(v)
11
cm
&
20
cm
Question
3
3.
In the given figure, △ABC is right angled at B. If BC = 11 cm and ∠C = 60°, find AB and AC
(i)
11
cm
&
24
cm
(ii)
11
√
3
cm
&
22
cm
(iii)
11
4
√
3
cm
&
21
cm
(iv)
11
4
√
3
cm
&
24
cm
(v)
11
4
√
3
cm
&
22
cm
Question
4
4.
In the given figure, △IKJ is right angled at J. If IJ = 7 cm and ∠K = 30°, find IK
(i)
14
cm
(ii)
12
cm
(iii)
13
cm
(iv)
16
cm
(v)
15
cm
Question
5
5.
In the given figure, △FHG is right angled at G. If FG = 9 cm and ∠H = 30°, find GH
(i)
27
2
√
2
cm
(ii)
9
cm
(iii)
27
cm
(iv)
9
√
18
cm
(v)
9
√
3
cm
Question
6
6.
In the given figure, △DFE is right angled at E. If DE = 9 cm and ∠F = 30°, find DG
(i)
5
cm
(ii)
17
4
cm
(iii)
11
2
cm
(iv)
9
2
cm
(v)
7
2
cm
Question
7
7.
In the given figure, △BDC is right angled at C. If BC = 8 cm and ∠D = 30°, find DE
(i)
10
cm
(ii)
11
cm
(iii)
13
cm
(iv)
14
cm
(v)
12
cm
Question
8
8.
In the given figure, △GIH is right angled at H. If GH = 15 cm and ∠I = 45°, find GI
(i)
30
cm
(ii)
15
2
√
12
cm
(iii)
15
√
2
cm
(iv)
30
√
3
cm
(v)
15
cm
Question
9
9.
In the given figure, △EGF is right angled at F. If EF = 16 cm and ∠G = 45°, find FG
(i)
15
cm
(ii)
16
cm
(iii)
17
cm
(iv)
19
cm
(v)
14
cm
Question
10
10.
In the given figure, △BDC is right angled at C. If BC = 16 cm and ∠D = 45°, find BE
(i)
8
√
2
cm
(ii)
4
√
12
cm
(iii)
16
cm
(iv)
16
√
3
cm
(v)
8
cm
Question
11
11.
In the given figure, △ACB is right angled at B. If AB = 13 cm and ∠C = 45°, find CD
(i)
13
cm
(ii)
13
4
√
12
cm
(iii)
13
2
cm
(iv)
13
2
√
2
cm
(v)
13
√
3
cm
Question
12
12.
In the given figure, △EGF is right angled at F. If EF = 26 cm and ∠G = 60°, find EG
(i)
52
3
cm
(ii)
52
3
√
18
cm
(iii)
52
3
√
3
cm
(iv)
26
√
2
cm
(v)
52
cm
Question
13
13.
In the given figure, △BDC is right angled at C. If BC = 26 cm and ∠D = 60°, find CD
(i)
26
3
√
18
cm
(ii)
26
3
√
3
cm
(iii)
26
cm
(iv)
26
3
cm
(v)
13
√
2
cm
Question
14
14.
In the given figure, △ACB is right angled at B. If AB = 24 cm and ∠C = 60°, find AD
(i)
18
√
2
cm
(ii)
12
√
18
cm
(iii)
12
cm
(iv)
36
cm
(v)
12
√
3
cm
Question
15
15.
In the given figure, △HJI is right angled at I. If HI = 23 cm and ∠J = 60°, find JK
(i)
23
6
√
3
cm
(ii)
23
6
cm
(iii)
23
4
√
2
cm
(iv)
23
6
√
18
cm
(v)
23
2
cm
Question
16
16.
In the given figure, △GHI is a right angle triangle with ∠I = 90° and HI = 14 cm. R is the mid-point of GI. Find RI
(i)
7
2
√
2
cm
(ii)
7
3
cm
(iii)
7
cm
(iv)
7
3
√
18
cm
(v)
7
3
√
3
cm
Question
17
17.
In the given figure, △GHI is a right angle triangle with ∠I = 90° and HI = 17 cm. S is the mid-point of GI. Find the length of the altitude from I to GH.
(i)
17
2
cm
(ii)
19
2
cm
(iii)
15
2
cm
(iv)
33
4
cm
(v)
9
cm
Question
18
18.
In the given figure, △DEF is a right angle triangle with ∠F = 90° and EF = 16 cm. S is the mid-point of DF. Find SF
(i)
9
cm
(ii)
8
cm
(iii)
7
cm
(iv)
5
cm
(v)
11
cm
Question
19
19.
In the given figure, △JKL is a right angle triangle with ∠L = 90° and KL = 16 cm. P is the mid-point of JL. Find the length of the altitude from L to JK.
(i)
16
√
3
cm
(ii)
16
cm
(iii)
8
cm
(iv)
4
√
12
cm
(v)
8
√
2
cm
Question
20
20.
In the given figure, △FGH is a right angle triangle with ∠H = 90° and GH = 17 cm. S is the mid-point of FH. Find SH
(i)
17
2
√
3
cm
(ii)
51
2
cm
(iii)
51
4
√
2
cm
(iv)
17
2
√
18
cm
(v)
17
2
cm
Question
21
21.
In the given figure, △DEF is a right angle triangle with ∠F = 90° and EF = 14 cm. P is the mid-point of DF. Find the length of the altitude from F to DE.
(i)
21
2
√
2
cm
(ii)
21
cm
(iii)
7
√
3
cm
(iv)
7
cm
(v)
7
√
18
cm
Question
22
22.
In the given figure, if
DF
−
EF
=
2 cm
,
and
DE = 10 cm
,
find
sin
D
(i)
14
13
(ii)
12
11
(iii)
4
5
(iv)
10
13
(v)
12
13
Question
23
23.
In the given figure, if
GI
−
HI
=
2 cm
,
and
GH = 8 cm
,
find
cos
G
(i)
8
19
(ii)
6
17
(iii)
8
17
(iv)
10
17
(v)
8
15
Question
24
24.
In the given figure, if
IK
−
JK
=
2 cm
,
and
IJ = 10 cm
,
find
tan
I
(i)
14
5
(ii)
12
5
(iii)
4
(iv)
2
(v)
12
7
Question
25
25.
In the given figure, if
GI
+
HI
=
32 cm
,
and
GH = 8 cm
,
find
sin
G
(i)
15
19
(ii)
15
17
(iii)
13
17
(iv)
1
Question
26
26.
In the given figure, if
FH
+
GH
=
32 cm
,
and
FG = 8 cm
,
find
cos
F
(i)
8
15
(ii)
6
17
(iii)
8
17
(iv)
8
19
(v)
10
17
Question
27
27.
In the given figure, if
EG
+
FG
=
32 cm
,
and
EF = 8 cm
,
find
tan
E
(i)
15
8
(ii)
17
8
(iii)
13
8
(iv)
5
2
(v)
3
2
Assignment Key
1) (iii)
2) (iv)
3) (ii)
4) (i)
5) (v)
6) (iv)
7) (v)
8) (iii)
9) (ii)
10) (i)
11) (iv)
12) (iii)
13) (ii)
14) (v)
15) (i)
16) (v)
17) (i)
18) (ii)
19) (v)
20) (i)
21) (iii)
22) (v)
23) (iii)
24) (ii)
25) (ii)
26) (iii)
27) (i)
