Question

question
find the value of tan g rounded to the nearest hundredth, if necessary.

Explanation:

Step1: Recall tangent - ratio formula

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. For $\angle G$ in right - triangle $EFG$, the side opposite to $\angle G$ is $EF = 14$ and the side adjacent to $\angle G$ is $EG = 48$.

Step2: Calculate $\tan G$

$\tan G=\frac{EF}{EG}=\frac{14}{48}=\frac{7}{24}\approx0.29$

Answer:

$0.29$