find the value of the variable(s). if your answer is not an integer, leave it in simplest radical form.

not drawn to scale

$x = 34\sqrt{3}, y = 17$
$x = 17, y = 34\sqrt{3}$
$x = 34, y = 17\sqrt{3}$
$x = 17\sqrt{3}, y = 34$

Question

find the value of the variable(s). if your answer is not an integer, leave it in simplest radical form.

not drawn to scale

$x = 34\sqrt{3}, y = 17$
$x = 17, y = 34\sqrt{3}$
$x = 34, y = 17\sqrt{3}$
$x = 17\sqrt{3}, y = 34$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Special Right Triangles", "Trigonometric Ratios" ], "current_concepts": [ "Special Right Triangles", "Trigonometric Ratios" ] } ## Relate sides using the 30-60-90 triangle ratios $$ \begin{aligned} &\text{Opposite side to } 30^\circ = 17 \ &\text{Adjacent side } x = 17\sqrt{3} \ &\text{Hypotenuse } y = 2 \times 17 = 34 \end{aligned} $$ ## Match with the given options $$ x = 17\sqrt{3},\ y = 34 $$

$x = 34\sqrt{3}, y = 17$

$x = 17, y = 34\sqrt{3}$

$x = 34, y = 17\sqrt{3}$

$x = 17\sqrt{3}, y = 34$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Special Right Triangles" ] }

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QUESTION IMAGE

Question

Explanation:

Relate sides using the 30-60-90 triangle ratios

Match with the given options

Answer: