Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 3a+4b=4.9c

Correct answer:

α =  64.6 °
β =  25.4 °
γ =  90 °

Step-by-step explanation:

 3a+4b=4.9c  c=1 3a+4b=4.9 a2+b2=1  a=34.94b  32(4.94b)2+b2=1 (4.94b)2+32b2=32   25b239.2b+15.01=0  p=25;q=39.2;r=15.01 D=q24pr=39.2242515.01=35.64 D>0  b1,2=2pq±D=5039.2±35.64 b1,2=0.784±0.119398 b1=0.903398492 b2=0.664601508   Factored form of the equation:  25(b0.903398492)(b0.664601508)=0   α=arcsinb=64.6

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