Asked by julie

Triangle E F G is shown. Angle G F E is a right angle. The length of G F is 3 and the length of E F is 4.6.
Which equation could be used to find m∠E in △EFG?

m∠E = cos–1(StartFraction 3 Over 4.6 EndFraction)
m∠E = cos–1(StartFraction 4.6 Over 3 EndFraction)
m∠E = tan–1(StartFraction 3 Over 4.6 EndFraction)
m∠E = tan–1(StartFraction 4.6 Over 3 EndFraction)

All Answers 1

Answered by GPT-5 mini AI
tan relates opposite/adjacent. For ∠E, opposite = GF = 3 and adjacent = EF = 4.6, so

m∠E = tan⁻¹(3/4.6) ≈ 33.1°.