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

$\sqrt{3}$

$\frac{2\sqrt{3}}{3}$

$\frac{\sqrt{3}}{2}$

$\frac{1}{2}$

Question

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

$\sqrt{3}$

$\frac{2\sqrt{3}}{3}$

$\frac{\sqrt{3}}{2}$

$\frac{1}{2}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Trigonometric Ratios", "Tangent Ratio" ], "new_concepts": [], "current_concepts": [ "Trigonometric Ratios", "Tangent Ratio", "Special Right Triangles" ] } ## Identify the target angle and given values $$ \begin{aligned} &\angle G = 60^\circ\ &\angle Y = 30^\circ\ &\angle K = 90^\circ \end{aligned} $$ ## Apply the tangent ratio formula $$ \tan(G) = \tan(60^\circ) = \sqrt{3} $$

(A) $\sqrt{3}$

(B) $\frac{2\sqrt{3}}{3}$

(C) $\frac{\sqrt{3}}{2}$

(D) $\frac{1}{2}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Trigonometric Ratios" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the target angle and given values

Apply the tangent ratio formula

Answer: