EduSahara™ Assignment
Name : Trigonometry Diagram Problems
Chapter : Trigonometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
In the given figure, △DEF is right angled at E. If EF = 12 cm and ∠F = 30°, find DE and DF
(i)
4
4
√
3
cm
&
8
√
3
cm
(ii)
4
4
√
3
cm
&
27
cm
(iii)
4
√
3
cm
&
8
√
3
cm
(iv)
4
4
√
1
3
cm
&
27
cm
(v)
4
4
√
3
cm
&
24
cm
Question
2
2.
In the given figure, △DEF is right angled at E. If EF = 11 cm and ∠F = 45°, find DE and DF
(i)
12
cm
&
11
√
2
cm
(ii)
12
cm
&
22
cm
(iii)
11
cm
&
11
√
2
cm
(iv)
12
cm
&
25
cm
(v)
10
cm
&
25
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
√
1
3
cm
&
21
cm
(ii)
10
√
3
cm
&
20
cm
(iii)
10
4
√
3
cm
&
21
cm
(iv)
10
4
√
3
cm
&
20
cm
(v)
10
4
√
3
cm
&
19
cm
Question
4
4.
In the given figure, △GIH is right angled at H. If GH = 8 cm and ∠I = 30°, find GI
(i)
17
cm
(ii)
15
cm
(iii)
19
cm
(iv)
16
cm
(v)
13
cm
Question
5
5.
In the given figure, △IKJ is right angled at J. If IJ = 8 cm and ∠K = 30°, find JK
(i)
8
√
3
cm
(ii)
12
√
2
cm
(iii)
8
cm
(iv)
24
cm
(v)
8
√
18
cm
Question
6
6.
In the given figure, △ACB is right angled at B. If AB = 8 cm and ∠C = 30°, find AD
(i)
5
cm
(ii)
7
cm
(iii)
4
cm
(iv)
1
cm
(v)
3
cm
Question
7
7.
In the given figure, △GIH is right angled at H. If GH = 9 cm and ∠I = 30°, find IJ
(i)
27
2
cm
(ii)
25
2
cm
(iii)
27
cm
(iv)
27
4
cm
(v)
29
2
cm
Question
8
8.
In the given figure, △ACB is right angled at B. If AB = 15 cm and ∠C = 45°, find AC
(i)
30
cm
(ii)
15
√
2
cm
(iii)
15
2
√
12
cm
(iv)
30
√
3
cm
(v)
15
cm
Question
9
9.
In the given figure, △EGF is right angled at F. If EF = 15 cm and ∠G = 45°, find FG
(i)
14
cm
(ii)
17
cm
(iii)
16
cm
(iv)
13
cm
(v)
15
cm
Question
10
10.
In the given figure, △IKJ is right angled at J. If IJ = 12 cm and ∠K = 45°, find IL
(i)
12
√
3
cm
(ii)
6
cm
(iii)
12
cm
(iv)
3
√
12
cm
(v)
6
√
2
cm
Question
11
11.
In the given figure, △CED is right angled at D. If CD = 16 cm and ∠E = 45°, find EF
(i)
8
cm
(ii)
16
cm
(iii)
16
√
3
cm
(iv)
4
√
12
cm
(v)
8
√
2
cm
Question
12
12.
In the given figure, △DFE is right angled at E. If DE = 25 cm and ∠F = 60°, find DF
(i)
50
3
√
3
cm
(ii)
50
3
√
18
cm
(iii)
25
√
2
cm
(iv)
50
3
cm
(v)
50
cm
Question
13
13.
In the given figure, △EGF is right angled at F. If EF = 25 cm and ∠G = 60°, find FG
(i)
25
3
cm
(ii)
25
3
√
3
cm
(iii)
25
cm
(iv)
25
3
√
18
cm
(v)
25
2
√
2
cm
Question
14
14.
In the given figure, △HJI is right angled at I. If HI = 21 cm and ∠J = 60°, find HK
(i)
21
2
√
3
cm
(ii)
21
2
√
18
cm
(iii)
63
2
cm
(iv)
63
4
√
2
cm
(v)
21
2
cm
Question
15
15.
In the given figure, △IKJ is right angled at J. If IJ = 21 cm and ∠K = 60°, find KL
(i)
7
2
cm
(ii)
21
2
cm
(iii)
21
4
√
2
cm
(iv)
7
2
√
18
cm
(v)
7
2
√
3
cm
Question
16
16.
In the given figure, △GHI is a right angle triangle with ∠I = 90° and HI = 17 cm. T is the mid-point of GI. Find TI
(i)
17
4
√
2
cm
(ii)
17
6
√
3
cm
(iii)
17
6
cm
(iv)
17
6
√
18
cm
(v)
17
2
cm
Question
17
17.
In the given figure, △JKL is a right angle triangle with ∠L = 90° and KL = 16 cm. Q is the mid-point of JL. Find the length of the altitude from L to JK.
(i)
8
cm
(ii)
9
cm
(iii)
5
cm
(iv)
7
cm
(v)
11
cm
Question
18
18.
In the given figure, △CDE is a right angle triangle with ∠E = 90° and DE = 13 cm. P is the mid-point of CE. Find PE
(i)
25
4
cm
(ii)
7
cm
(iii)
13
2
cm
(iv)
15
2
cm
(v)
11
2
cm
Question
19
19.
In the given figure, △GHI is a right angle triangle with ∠I = 90° and HI = 14 cm. S is the mid-point of GI. Find the length of the altitude from I to GH.
(i)
7
2
√
12
cm
(ii)
7
√
2
cm
(iii)
14
cm
(iv)
14
√
3
cm
(v)
7
cm
Question
20
20.
In the given figure, △GHI is a right angle triangle with ∠I = 90° and HI = 16 cm. R is the mid-point of GI. Find RI
(i)
24
cm
(ii)
8
√
3
cm
(iii)
8
cm
(iv)
8
√
18
cm
(v)
12
√
2
cm
Question
21
21.
In the given figure, △BCD is a right angle triangle with ∠D = 90° and CD = 15 cm. Q is the mid-point of BD. Find the length of the altitude from D to BC.
(i)
15
2
√
3
cm
(ii)
45
2
cm
(iii)
45
4
√
2
cm
(iv)
15
2
cm
(v)
15
2
√
18
cm
Question
22
22.
In the given figure, if
AC
−
BC
=
2 cm
,
and
AB = 10 cm
,
find
sin
A
(i)
10
13
(ii)
12
11
(iii)
4
5
(iv)
12
13
(v)
14
13
Question
23
23.
In the given figure, if
HJ
−
IJ
=
2 cm
,
and
HI = 10 cm
,
find
cos
H
(i)
1
3
(ii)
3
13
(iii)
5
11
(iv)
5
13
(v)
7
13
Question
24
24.
In the given figure, if
IK
−
JK
=
2 cm
,
and
IJ = 10 cm
,
find
tan
I
(i)
2
(ii)
12
5
(iii)
4
(iv)
12
7
(v)
14
5
Question
25
25.
In the given figure, if
AC
+
BC
=
18 cm
,
and
AB = 6 cm
,
find
sin
A
(i)
6
5
(ii)
2
5
(iii)
4
7
(iv)
4
3
(v)
4
5
Question
26
26.
In the given figure, if
JL
+
KL
=
50 cm
,
and
JK = 10 cm
,
find
cos
J
(i)
7
13
(ii)
3
13
(iii)
5
11
(iv)
1
3
(v)
5
13
Question
27
27.
In the given figure, if
FH
+
GH
=
18 cm
,
and
FG = 6 cm
,
find
tan
F
(i)
4
3
(ii)
4
(iii)
4
5
(iv)
2
(v)
2
3
Assignment Key
1) (iii)
2) (iii)
3) (ii)
4) (iv)
5) (i)
6) (iii)
7) (i)
8) (ii)
9) (v)
10) (v)
11) (v)
12) (i)
13) (ii)
14) (i)
15) (v)
16) (ii)
17) (i)
18) (iii)
19) (ii)
20) (ii)
21) (i)
22) (iv)
23) (iv)
24) (ii)
25) (v)
26) (v)
27) (i)
