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 = 11 cm and ∠D = 30°, find BC and BD
(i)
11
3
4
√
1
3
cm
&
24
cm
(ii)
11
3
4
√
3
cm
&
24
cm
(iii)
11
3
4
√
3
cm
&
22
cm
(iv)
11
3
√
3
cm
&
22
3
√
3
cm
(v)
11
3
4
√
3
cm
&
22
3
√
3
cm
Question
2
2.
In the given figure, △JKL is right angled at K. If KL = 9 cm and ∠L = 45°, find JK and JL
(i)
10
cm
&
9
√
2
cm
(ii)
10
cm
&
18
cm
(iii)
9
cm
&
9
√
2
cm
(iv)
10
cm
&
20
cm
(v)
7
cm
&
20
cm
Question
3
3.
In the given figure, △JKL is right angled at K. If KL = 10 cm and ∠L = 60°, find JK and JL
(i)
10
4
√
3
cm
&
21
cm
(ii)
10
4
√
3
cm
&
20
cm
(iii)
10
√
3
cm
&
20
cm
(iv)
10
4
√
3
cm
&
19
cm
(v)
10
cm
&
21
cm
Question
4
4.
In the given figure, △FHG is right angled at G. If FG = 8 cm and ∠H = 30°, find FH
(i)
13
cm
(ii)
19
cm
(iii)
16
cm
(iv)
15
cm
(v)
17
cm
Question
5
5.
In the given figure, △BDC is right angled at C. If BC = 8 cm and ∠D = 30°, find CD
(i)
24
cm
(ii)
8
√
18
cm
(iii)
8
cm
(iv)
12
√
2
cm
(v)
8
√
3
cm
Question
6
6.
In the given figure, △FHG is right angled at G. If FG = 8 cm and ∠H = 30°, find FI
(i)
5
cm
(ii)
2
cm
(iii)
4
cm
(iv)
6
cm
(v)
3
cm
Question
7
7.
In the given figure, △ACB is right angled at B. If AB = 8 cm and ∠C = 30°, find CD
(i)
10
cm
(ii)
15
cm
(iii)
11
cm
(iv)
12
cm
(v)
13
cm
Question
8
8.
In the given figure, △EGF is right angled at F. If EF = 15 cm and ∠G = 45°, find EG
(i)
15
cm
(ii)
30
√
3
cm
(iii)
15
2
√
12
cm
(iv)
15
√
2
cm
(v)
30
cm
Question
9
9.
In the given figure, △CED is right angled at D. If CD = 15 cm and ∠E = 45°, find DE
(i)
16
cm
(ii)
15
cm
(iii)
14
cm
(iv)
13
cm
(v)
18
cm
Question
10
10.
In the given figure, △CED is right angled at D. If CD = 16 cm and ∠E = 45°, find CF
(i)
8
√
2
cm
(ii)
16
√
3
cm
(iii)
8
cm
(iv)
16
cm
(v)
4
√
12
cm
Question
11
11.
In the given figure, △DFE is right angled at E. If DE = 14 cm and ∠F = 45°, find FG
(i)
7
2
√
12
cm
(ii)
7
cm
(iii)
14
cm
(iv)
14
√
3
cm
(v)
7
√
2
cm
Question
12
12.
In the given figure, △ACB is right angled at B. If AB = 24 cm and ∠C = 60°, find AC
(i)
24
√
2
cm
(ii)
16
√
3
cm
(iii)
16
√
18
cm
(iv)
16
cm
(v)
48
cm
Question
13
13.
In the given figure, △DFE is right angled at E. If DE = 23 cm and ∠F = 60°, find EF
(i)
23
cm
(ii)
23
3
cm
(iii)
23
2
√
2
cm
(iv)
23
3
√
18
cm
(v)
23
3
√
3
cm
Question
14
14.
In the given figure, △FHG is right angled at G. If FG = 21 cm and ∠H = 60°, find FI
(i)
21
2
√
3
cm
(ii)
21
2
cm
(iii)
63
2
cm
(iv)
63
4
√
2
cm
(v)
21
2
√
18
cm
Question
15
15.
In the given figure, △FHG is right angled at G. If FG = 26 cm and ∠H = 60°, find HI
(i)
13
2
√
2
cm
(ii)
13
3
√
18
cm
(iii)
13
3
√
3
cm
(iv)
13
cm
(v)
13
3
cm
Question
16
16.
In the given figure, △DEF is a right angle triangle with ∠F = 90° and EF = 14 cm. T is the mid-point of DF. Find TF
(i)
7
3
√
18
cm
(ii)
7
2
√
2
cm
(iii)
7
cm
(iv)
7
3
√
3
cm
(v)
7
3
cm
Question
17
17.
In the given figure, △GHI is a right angle triangle with ∠I = 90° and HI = 13 cm. Q is the mid-point of GI. Find the length of the altitude from I to GH.
(i)
11
2
cm
(ii)
15
2
cm
(iii)
7
cm
(iv)
13
2
cm
(v)
25
4
cm
Question
18
18.
In the given figure, △ABC is a right angle triangle with ∠C = 90° and BC = 16 cm. P is the mid-point of AC. Find PC
(i)
7
cm
(ii)
11
cm
(iii)
9
cm
(iv)
6
cm
(v)
8
cm
Question
19
19.
In the given figure, △FGH is a right angle triangle with ∠H = 90° and GH = 13 cm. S is the mid-point of FH. Find the length of the altitude from H to FG.
(i)
13
2
√
2
cm
(ii)
13
√
3
cm
(iii)
13
4
√
12
cm
(iv)
13
2
cm
(v)
13
cm
Question
20
20.
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)
12
√
2
cm
(ii)
24
cm
(iii)
8
cm
(iv)
8
√
18
cm
(v)
8
√
3
cm
Question
21
21.
In the given figure, △IJK is a right angle triangle with ∠K = 90° and JK = 16 cm. S is the mid-point of IK. Find the length of the altitude from K to IJ.
(i)
8
cm
(ii)
24
cm
(iii)
8
√
3
cm
(iv)
8
√
18
cm
(v)
12
√
2
cm
Question
22
22.
In the given figure, if
AC
−
BC
=
2 cm
,
and
AB = 6 cm
,
find
sin
A
(i)
6
5
(ii)
4
3
(iii)
2
5
(iv)
4
5
(v)
4
7
Question
23
23.
In the given figure, if
HJ
−
IJ
=
2 cm
,
and
HI = 10 cm
,
find
cos
H
(i)
5
13
(ii)
1
3
(iii)
3
13
(iv)
5
11
(v)
7
13
Question
24
24.
In the given figure, if
CE
−
DE
=
2 cm
,
and
CD = 10 cm
,
find
tan
C
(i)
2
(ii)
14
5
(iii)
4
(iv)
12
5
(v)
12
7
Question
25
25.
In the given figure, if
IK
+
JK
=
32 cm
,
and
IJ = 8 cm
,
find
sin
I
(i)
13
17
(ii)
15
17
(iii)
15
19
(iv)
1
Question
26
26.
In the given figure, if
IK
+
JK
=
18 cm
,
and
IJ = 6 cm
,
find
cos
I
(i)
1
5
(ii)
3
5
(iii)
3
7
(iv)
1
Question
27
27.
In the given figure, if
IK
+
JK
=
18 cm
,
and
IJ = 6 cm
,
find
tan
I
(i)
4
3
(ii)
2
3
(iii)
4
5
(iv)
4
(v)
2
Assignment Key
1) (iv)
2) (iii)
3) (iii)
4) (iii)
5) (v)
6) (iii)
7) (iv)
8) (iv)
9) (ii)
10) (i)
11) (v)
12) (ii)
13) (v)
14) (i)
15) (iii)
16) (iv)
17) (iv)
18) (v)
19) (i)
20) (v)
21) (iii)
22) (iv)
23) (i)
24) (iv)
25) (ii)
26) (ii)
27) (i)
