Question

1. intro to soh - cah - toa day 2 date december 14 8:20 pm grade 67% question find the value of tan g rounded to the nearest hundredth, if necessary. tan g = answer attempt 1 out of 2

Explanation:

Step1: Recall tangent - ratio formula

The tangent of an angle in a right - triangle is defined as $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. For angle $G$ in the given right - triangle, the side opposite to angle $G$ is $HI = \sqrt{7}$ and the side adjacent to angle $G$ is $GH = 3$.

Step2: Calculate the value of $\tan G$

$\tan G=\frac{\sqrt{7}}{3}$.

Step3: Approximate the value

$\sqrt{7}\approx2.646$, so $\tan G=\frac{2.646}{3}=0.882\approx0.88$.

Answer:

$0.88$