PRS is an isosceles triangle which PS = PR. If SP is produced to O such that PO = SP, then Angle SRO is
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Answered by
0
Answer:
45
Step-by-step explanation:
ANSWER
Let equal sides be a
tanθ=
PR
SP
=
a
2
a
=
2
1
sinθ=
50
1
tanϕ=
PR
PT
=
a
3
a
=
3
1
sinϕ=
10
1
sin2ϕ=
1+tan
2
ϕ
2tanϕ
=
1+
9
1
2×
3
1
=
5
3
cos2ϕ=
5
4
sinϕ+cosϕ=
10
1
+
10
3
=
10
4
sin(2ϕ+θ)=sin(2ϕ)cosθ+cos2ϕsinθ=
5
3
×
50
3
+
5
4
×
50
1
=
2
1
Hence 2ϕ+θ=sin
−1
2
1
=45
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