Answer:
The angle F = 47.25°
Step-by-step explanation:
Step(i):-
Given that f =42inches and e = 39 inches
Given that ∠E = 43°
By using sine rule
[tex]\frac{a}{sinA} = \frac{b}{sinB} = \frac{C}{sinC} = 2R[/tex]
[tex]\frac{e}{sinE} = \frac{f}{sinF}[/tex]
⇒ [tex]\frac{39}{sin43} = \frac{42}{sinF}[/tex]
Cross multiplication , we get
⇒ 39 sin F = 42 × sin 43°
[tex]sin F = \frac{42 X 0.68199}{39}[/tex]
⇒ sin F = 0.734459
Step(ii):-
⇒ sin⁻¹ (sin F)= sin ⁻¹ ( 0.734459)
⇒ F = 47.25
The angle F = 47.25°
