2023hashs64 2023hashs64
  • 23-03-2021
  • Mathematics
contestada

In ΔEFG, f = 6.5 cm, e = 9.8 cm and ∠E=53°. Find all possible values of ∠F, to the nearest 10th of a degree.

Respuesta :

willyb67 willyb67
  • 27-03-2021

Answer:

32°

Step-by-step explanation:

sin A/a= sin B/b

Plug in values:

sinF/6.5=sin53/9.8

Evaluate:

sin F= 6.5 sin 53/9.8≈0.5297072

F=sin^−1  (0.5297072)≈31.986≈32°

Quadrant 2: 180-32=148°

53+32=85° <--Possible

53+148=201° <-- Not Possible

Therefore your answer is 32°

 

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