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HELP ME PLEASE LAWS OF SINES !! IXL !!

HELP ME PLEASE LAWS OF SINES !! IXL !!-example-1
User Samlev
by
8.0k points

1 Answer

6 votes

Answer:

f = 19.0

Explanation:

By applying sine rule in the triangle given in the figure,

By applying triangle sum theorem,

m∠F + m∠G + m∠H = 180°

110° + m∠G + 40° = 180°

m∠G + 150° = 180°

m∠G = 30°


(sin(\angle F))/(GH)= (sin(\angle G))/(HF)=(sin(\angle H))/(FG)


(sin(\angle 110^0))/(f)= (sin(\angle 30^0))/(g)=(sin(\angle 40^0))/(13)


(sin(\angle 110^0))/(f)= (sin(\angle 40^0))/(13)


(0.9397)/(f)= (0.6428)/(13)

f =
(13* 0.9397)/(0.6428)

f = 19.0

User Guney Cobanoglu
by
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