Right

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=4.94b3  (4.94b)232+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=q±D2p=39.2±35.6450 b1,2=0.784±0.119398492453 b1=0.903398492453 b2=0.664601507547   Factored form of the equation:  25(b0.903398492453)(b0.664601507547)=0   α=arcsinb=64.6
β=arccosb=25.4
γ=90



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