Question

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)

Answer 1

The answer is c

Explanation:

Answer 2

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

Explanation:

Given the following

m<GFE = 90 degrees

GF = 3

EF = 4.6

The side opposite to m<E is GF

Adjacent side is EF

Using the SOH CAH TOA identity

tan theta = opp/adj

tan m<E =GF/EF

Substitute the given values

tan m<E = 3/4.6

m<E = tan^-1 (3/4.6)

Hence the required result is m∠E = tan–1(StartFraction 3 Over 4.6 EndFraction)