Which equation could be used to find m∠E in △EFG?

Solution:

Given the right angle triangle △EFG

We know that tangent of angle adjacent to the right angle is the ratio of opposite side length and adjacent side length.

According to the diagram, the known values are the side lengths.

From the known values, we can calculate tangent E.

EF=4.6 and side length GF = 3.

m∠E = tan(E) = opposite length/ adjacent length

Tan E = EF / GF

= 3/(4.6)

m∠E = tan⁻¹(3/(4.6) =  tan⁻¹(0.65) = 33.11°

m∠E = 33.11°

Which equation could be used to find m∠E in △EFG?

Summary:

Thus, m∠E = tan⁻¹ (opposite side/ adjacent side) could be used to find m∠E in △EFG