Question

given right triangle gyk, what is the value of tan(g)?

Explanation:

Step1: Recall tangent formula

$\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$

Step2: Identify sides for angle G

For $\angle G$, opposite = $YK$, adjacent = $GK = 27$. In a 30 - 60 - 90 triangle, if adjacent to 60° is 27, opposite is $27\sqrt{3}$. So $\tan(G)=\frac{27\sqrt{3}}{27}=\sqrt{3}$

Answer:

$\sqrt{3}$