In ΔEFG, f = 42 inches, e = 39 inches and ∠E=43°. Find all possible values of ∠F, to the nearest degree.\

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

 ⇒          

  Cross multiplication , we get

⇒       39 sin F = 42 × sin 43°

⇒           sin F = 0.734459

Step(ii):-

⇒       sin⁻¹ (sin F)= sin ⁻¹ ( 0.734459)

⇒            F = 47.25

The angle F = 47.25°

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