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 = 8 cm and ∠H = 30°, find FG and FH
(i)
8
3
√
3
cm
&
16
3
√
3
cm
(ii)
8
3
4
√
3
cm
&
16
3
√
3
cm
(iii)
8
3
4
√
3
cm
&
16
cm
(iv)
8
3
4
√
3
cm
&
19
cm
(v)
8
3
cm
&
19
cm
Question
2
2.
In the given figure, △FGH is right angled at G. If GH = 11 cm and ∠H = 45°, find FG and FH
(i)
12
cm
&
25
cm
(ii)
9
cm
&
25
cm
(iii)
12
cm
&
11
√
2
cm
(iv)
12
cm
&
22
cm
(v)
11
cm
&
11
√
2
cm
Question
3
3.
In the given figure, △JKL is right angled at K. If KL = 11 cm and ∠L = 60°, find JK and JL
(i)
11
4
√
3
cm
&
22
cm
(ii)
11
4
√
3
cm
&
24
cm
(iii)
11
4
√
3
cm
&
21
cm
(iv)
11
√
3
cm
&
22
cm
(v)
11
4
√
1
3
cm
&
24
cm
Question
4
4.
In the given figure, △IKJ is right angled at J. If IJ = 8 cm and ∠K = 30°, find IK
(i)
15
cm
(ii)
16
cm
(iii)
18
cm
(iv)
13
cm
(v)
17
cm
Question
5
5.
In the given figure, △ACB is right angled at B. If AB = 8 cm and ∠C = 30°, find BC
(i)
8
√
18
cm
(ii)
24
cm
(iii)
8
cm
(iv)
8
√
3
cm
(v)
12
√
2
cm
Question
6
6.
In the given figure, △FHG is right angled at G. If FG = 8 cm and ∠H = 30°, find FI
(i)
7
cm
(ii)
3
cm
(iii)
5
cm
(iv)
4
cm
(v)
2
cm
Question
7
7.
In the given figure, △IKJ is right angled at J. If IJ = 8 cm and ∠K = 30°, find KL
(i)
11
cm
(ii)
10
cm
(iii)
13
cm
(iv)
12
cm
(v)
15
cm
Question
8
8.
In the given figure, △HJI is right angled at I. If HI = 16 cm and ∠J = 45°, find HJ
(i)
16
√
2
cm
(ii)
8
√
12
cm
(iii)
32
cm
(iv)
32
√
3
cm
(v)
16
cm
Question
9
9.
In the given figure, △ACB is right angled at B. If AB = 16 cm and ∠C = 45°, find BC
(i)
13
cm
(ii)
17
cm
(iii)
15
cm
(iv)
19
cm
(v)
16
cm
Question
10
10.
In the given figure, △BDC is right angled at C. If BC = 15 cm and ∠D = 45°, find BE
(i)
15
√
3
cm
(ii)
15
2
√
2
cm
(iii)
15
4
√
12
cm
(iv)
15
2
cm
(v)
15
cm
Question
11
11.
In the given figure, △DFE is right angled at E. If DE = 15 cm and ∠F = 45°, find FG
(i)
15
2
√
2
cm
(ii)
15
cm
(iii)
15
2
cm
(iv)
15
4
√
12
cm
(v)
15
√
3
cm
Question
12
12.
In the given figure, △EGF is right angled at F. If EF = 22 cm and ∠G = 60°, find EG
(i)
44
3
√
3
cm
(ii)
44
cm
(iii)
22
√
2
cm
(iv)
44
3
cm
(v)
44
3
√
18
cm
Question
13
13.
In the given figure, △BDC is right angled at C. If BC = 21 cm and ∠D = 60°, find CD
(i)
7
√
3
cm
(ii)
7
√
18
cm
(iii)
7
cm
(iv)
21
cm
(v)
21
2
√
2
cm
Question
14
14.
In the given figure, △CED is right angled at D. If CD = 27 cm and ∠E = 60°, find CF
(i)
27
2
√
3
cm
(ii)
81
2
cm
(iii)
27
2
cm
(iv)
81
4
√
2
cm
(v)
27
2
√
18
cm
Question
15
15.
In the given figure, △DFE is right angled at E. If DE = 27 cm and ∠F = 60°, find FG
(i)
9
2
cm
(ii)
9
2
√
3
cm
(iii)
9
2
√
18
cm
(iv)
27
4
√
2
cm
(v)
27
2
cm
Question
16
16.
In the given figure, △JKL is a right angle triangle with ∠L = 90° and KL = 15 cm. Q is the mid-point of JL. Find QL
(i)
5
2
√
3
cm
(ii)
15
2
cm
(iii)
5
2
√
18
cm
(iv)
5
2
cm
(v)
15
4
√
2
cm
Question
17
17.
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)
10
cm
(ii)
9
cm
(iii)
7
cm
(iv)
8
cm
(v)
6
cm
Question
18
18.
In the given figure, △GHI is a right angle triangle with ∠I = 90° and HI = 14 cm. Q is the mid-point of GI. Find QI
(i)
9
cm
(ii)
6
cm
(iii)
4
cm
(iv)
8
cm
(v)
7
cm
Question
19
19.
In the given figure, △CDE is a right angle triangle with ∠E = 90° and DE = 17 cm. Q is the mid-point of CE. Find the length of the altitude from E to CD.
(i)
17
4
√
12
cm
(ii)
17
cm
(iii)
17
2
cm
(iv)
17
√
3
cm
(v)
17
2
√
2
cm
Question
20
20.
In the given figure, △DEF is a right angle triangle with ∠F = 90° and EF = 13 cm. Q is the mid-point of DF. Find QF
(i)
39
2
cm
(ii)
13
2
√
3
cm
(iii)
13
2
cm
(iv)
39
4
√
2
cm
(v)
13
2
√
18
cm
Question
21
21.
In the given figure, △FGH is a right angle triangle with ∠H = 90° and GH = 17 cm. T 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)
51
4
√
2
cm
(iv)
17
2
cm
(v)
17
2
√
18
cm
Question
22
22.
In the given figure, if
IK
−
JK
=
2 cm
,
and
IJ = 10 cm
,
find
sin
I
(i)
10
13
(ii)
12
13
(iii)
12
11
(iv)
14
13
(v)
4
5
Question
23
23.
In the given figure, if
AC
−
BC
=
2 cm
,
and
AB = 10 cm
,
find
cos
A
(i)
1
3
(ii)
5
11
(iii)
7
13
(iv)
3
13
(v)
5
13
Question
24
24.
In the given figure, if
EG
−
FG
=
2 cm
,
and
EF = 10 cm
,
find
tan
E
(i)
12
5
(ii)
4
(iii)
14
5
(iv)
2
(v)
12
7
Question
25
25.
In the given figure, if
HJ
+
IJ
=
50 cm
,
and
HI = 10 cm
,
find
sin
H
(i)
14
13
(ii)
12
13
(iii)
4
5
(iv)
10
13
(v)
12
11
Question
26
26.
In the given figure, if
IK
+
JK
=
18 cm
,
and
IJ = 6 cm
,
find
cos
I
(i)
1
(ii)
3
5
(iii)
3
7
(iv)
1
5
Question
27
27.
In the given figure, if
IK
+
JK
=
32 cm
,
and
IJ = 8 cm
,
find
tan
I
(i)
15
8
(ii)
5
2
(iii)
13
8
(iv)
17
8
(v)
3
2
Assignment Key
1) (i)
2) (v)
3) (iv)
4) (ii)
5) (iv)
6) (iv)
7) (iv)
8) (i)
9) (v)
10) (ii)
11) (i)
12) (i)
13) (i)
14) (i)
15) (ii)
16) (i)
17) (iv)
18) (v)
19) (v)
20) (ii)
21) (i)
22) (ii)
23) (v)
24) (i)
25) (ii)
26) (ii)
27) (i)
