Question

HELP ME PLEASE LAWS OF SINES !! IXL !!

Answer 1

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