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General
Easy

Question

In triangle A B C comma angle B colon angle C equals 3 colon 2 comma angle B then find angle B in the figure.

  1. 45 to the power of ring operator end exponent    
  2. 57 to the power of ring operator end exponent    
  3. 50 to the power of ring operator end exponent    
  4. 51 to the power of ring operator end exponent    

The correct answer is: 50 to the power of ring operator end exponent

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Here R =blank fraction numerator V to the power of 2 end exponent over denominator P end fraction Total power supplied
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left parenthesis 1 minus y right parenthesis to the power of m end exponent left parenthesis 1 plus y right parenthesis to the power of n end exponent equals 1 plus a y plus a subscript 2 end subscript y to the power of 2 end exponent plus horizontal ellipsis.
rightwards double arrow open parentheses 1 minus m subscript c subscript 1 end subscript end subscript y plus m subscript c subscript 2 end subscript end subscript y to the power of 2 end exponent minus horizontal ellipsis horizontal ellipsis. close parentheses open parentheses 1 plus n subscript c subscript 1 end subscript end subscript y plus n subscript c subscript 2 end subscript end subscript y to the power of 2 end exponent plus horizontal ellipsis horizontal ellipsis. close parentheses equals 1 plus a comma y plus a subscript 2 end subscript y to the power of 2 end exponent plus horizontal ellipsis horizontal ellipsis..
rightwards double arrow a subscript 1 end subscript equals n subscript c subscript 1 end subscript end subscript minus m subscript c subscript 1 end subscript end subscript semicolon a subscript 2 end subscript equals m subscript c subscript 2 end subscript end subscript minus m subscript c subscript 1 end subscript end subscript n subscript c subscript 1 end subscript end subscript plus n subscript c subscript 2 end subscript end subscript
rightwards double arrow n minus m equals 10 comma m to the power of 2 end exponent plus n to the power of 2 end exponent minus m minus n minus 2 m n equals 20
rightwards double arrow n minus m equals 10 comma left parenthesis m minus n right parenthesis to the power of 2 end exponent minus left parenthesis m plus n right parenthesis equals 20
rightwards double arrow n minus m equals 10 comma n plus m equals 80
rightwards double arrow m equals 35 comma n equals 45

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rightwards double arrow open parentheses 1 minus m subscript c subscript 1 end subscript end subscript y plus m subscript c subscript 2 end subscript end subscript y to the power of 2 end exponent minus horizontal ellipsis horizontal ellipsis. close parentheses open parentheses 1 plus n subscript c subscript 1 end subscript end subscript y plus n subscript c subscript 2 end subscript end subscript y to the power of 2 end exponent plus horizontal ellipsis horizontal ellipsis. close parentheses equals 1 plus a comma y plus a subscript 2 end subscript y to the power of 2 end exponent plus horizontal ellipsis horizontal ellipsis..
rightwards double arrow a subscript 1 end subscript equals n subscript c subscript 1 end subscript end subscript minus m subscript c subscript 1 end subscript end subscript semicolon a subscript 2 end subscript equals m subscript c subscript 2 end subscript end subscript minus m subscript c subscript 1 end subscript end subscript n subscript c subscript 1 end subscript end subscript plus n subscript c subscript 2 end subscript end subscript
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rightwards double arrow n minus m equals 10 comma left parenthesis m minus n right parenthesis to the power of 2 end exponent minus left parenthesis m plus n right parenthesis equals 20
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rightwards double arrow m equals 35 comma n equals 45
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