Question

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

Explanation:

Step1: Recall tangent formula

$\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$ for an angle $\theta$ in a right - triangle.
For $\angle G = 60^{\circ}$ in right - triangle $GYK$, if we assume the side opposite to $\angle G$ has length $\sqrt{3}$ and the side adjacent to $\angle G$ has length $1$.

Step2: Calculate $\tan(G)$

$\tan(G)=\tan(60^{\circ})=\frac{\sqrt{3}}{1}=\sqrt{3}$

Answer:

$\sqrt{3}$