Question

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.

Answer 1

32°

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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