Question

question in △efg, the measure of ∠g = 90°, eg = 11, gf = 60, and fe = 61. what ratio represents the tangent of ∠e? answer attempt 1 out of 2 score: 0/1 penalty: none identifying trig ratios (no diagram)

Explanation:

Step1: Recall tangent ratio formula

The tangent of an angle in a right - triangle is defined as the ratio of the opposite side to the adjacent side. For $\angle E$ in right - triangle $EFG$ with $\angle G = 90^{\circ}$, $\tan E=\frac{opposite}{adjacent}$.

Step2: Identify opposite and adjacent sides

The side opposite to $\angle E$ is $GF$ and the side adjacent to $\angle E$ is $EG$. Given $EG = 11$ and $GF=60$.

Step3: Calculate the tangent ratio

$\tan E=\frac{GF}{EG}=\frac{60}{11}$

Answer:

$\frac{60}{11}$