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Mathematics
Mathematics
Problem
△
A
B
C
\triangle ABC
△
A
B
C
is right angled at
B
B
B
with
A
B
=
6
cm
AB = 6\,\text{cm}
A
B
=
6
cm
and
B
C
=
8
cm
BC = 8\,\text{cm}
B
C
=
8
cm
. Let
θ
1
\theta_1
θ
1
be
∠
A
\angle A
∠
A
.
△
P
Q
R
\triangle PQR
△
P
QR
is right angled at
Q
Q
Q
with
P
Q
=
9
cm
PQ = 9\,\text{cm}
P
Q
=
9
cm
and
Q
R
=
12
cm
QR = 12\,\text{cm}
QR
=
12
cm
. Let
θ
2
\theta_2
θ
2
be
∠
P
\angle P
∠
P
. What is the value of
sin
θ
1
sin
θ
2
\dfrac{\sin \theta_1}{\sin \theta_2}
sin
θ
2
sin
θ
1
? a)
4
3
\dfrac{4}{3}
3
4
b)
1
1
1
c)
5
3
\dfrac{5}{3}
3
5
d)
3
4
\dfrac{3}{4}
4
3
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