Answer:
"76°" is the appropriate solution.
Step-by-step explanation:
Please find attachment of the diagram according to the given query.
The given values are:
In ΔDEF,
f = 610 inches
e = 590
∠E = 70°
∠F = ?
By using the law of sines, we get
⇒ [tex]\frac{Sin E}{e} =\frac{Sin F}{f}[/tex]
On substituting the values, we get
⇒ [tex]\frac{Sin70^{\circ}}{590} =\frac{SinF}{610}[/tex]
On applying cross multiplication, we get
⇒ [tex]SinF=\frac{610\times Sin 70^{\circ}}{590}[/tex]
On substituting the values, we get
⇒ [tex]=\frac{61\times 0.95969262}{59}[/tex]
⇒ [tex]=\frac{57.3212499}{59}[/tex]
⇒ [tex]=0.971546608[/tex]
now,
⇒ [tex]F=Sin^{-1}(0.971546608)[/tex]
⇒ [tex]=76^{\circ}[/tex]
