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Question

If in a triangle a = 3+1,b=31,C=60 then the value of A is ?

A
75
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B
90
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C
105
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D
120
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Solution

The correct option is C 105
A+B+C=180
A+B=120 .... (1)
From law of tangent, we know that tan (AB2)=aba+bcotC2
=(3+1)(31)(3+1)+(31)cot30
=223cot30
tan(AB2)=1
AB=90 ..... (2)
By equation 1 & 2, we get
A=105

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