Question

In AEFG, F = 61 inches, ZF=79º and ZG=34°. Find the length of g, to the nearest

10th of an inch.

Answer 1

g ≈ 34.7 in

Explanation:

The law of sines is useful for this:

f/sin(F) = g/sin(G)

Multiplying by sin(G), we have ...

g = f·sin(G)/sin(F) = (61 in)·sin(34°)/sin(79°)

g ≈ 34.7 in