If ∠G measures 45°, ∠F measures 82°, and f is 7 feet, then find g using the Law of Sines. Round your answer to the nearest foot.

Question

3 years ago

7

triangle EFG with side e across from angle E, side f across from angle F, and side g across from angle g 4 ft 5ft 6ft 7ft

2 answers:

Alik [6] · Answer 1 · 2022-06-23T08:52:05+03:00

Alik [6]3 years ago

5 0

Answer:

probably 5 feet but not sure maybe so

Step-by-step explanation:

dsp73 · Answer 2 · 2022-06-23T06:44:59+03:00

dsp733 years ago

3 0

Answer:

5 ft

Step-by-step explanation:

we know that

Applying the law of sines

$\frac{f}{sin(F)}=\frac{g}{sin(G)}$

substitute the given values

$\frac{7}{sin(82^o)}=\frac{g}{sin(45^o)}$

solve for g

$g=\frac{7}{sin(82^o)}sin(45^o)=5\ ft$