what is $\tan(a)$?

$\tan(a) = \frac{?}{\quad}$

hint: remember sohcahtoa.

Question

what is $\tan(a)$?

$\tan(a) = \frac{?}{\quad}$

hint: remember sohcahtoa.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Right Triangle Trigonometry", "Tangent Ratio" ], "new_concepts": [], "current_concepts": [ "Right Triangle Trigonometry", "Tangent Ratio" ] } ## Identify the sides relative to angle A $$ \begin{aligned} &\text{Opposite side} = 5\ &\text{Adjacent side} = 8\ &\text{Hypotenuse} = \sqrt{89} \end{aligned} $$ ## Apply the tangent ratio formula $$ \tan(A) = \frac{\text{Opposite}}{\text{Adjacent}} = \frac{5}{8} $$ What is $\tan(A)$? $\tan(A) =$ $\frac{5}{8}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Tangent Ratio" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the sides relative to angle A

Apply the tangent ratio formula

Answer: