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Question Number 185521 by Mingma last updated on 23/Jan/23

Commented by mr W last updated on 06/Feb/23

other solution see Q186594

othersolutionseeQ186594

Answered by mr W last updated on 23/Jan/23

(a/(sin 30))=(b/(sin 70))=(c/(sin 80)) ((sin α)/c)=((sin 70)/(a+b)) sin α=((sin 70)/((a/c)+(b/c)))=((sin 70)/(((sin 30)/(sin 80))+((sin 70)/(sin 80))))=((sin 70 sin 80)/(sin 30+sin 70)) ⇒α=40°

asin30=bsin70=csin80sinαc=sin70a+bsinα=sin70ac+bc=sin70sin30sin80+sin70sin80=sin70sin80sin30+sin70⇒α=40°

Commented by Rupesh123 last updated on 23/Jan/23

How alpha equals 40 from the last step?

Commented by mr W last updated on 23/Jan/23

i just calculated the value with a calculator.

ijustcalculatedthevaluewithacalculator.

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