find the values of $x$ and $y$. round your answers to two decimal places.

a) $x$

b) $y$

Question

find the values of $x$ and $y$. round your answers to two decimal places.

a) $x$

b) $y$

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Trigonometric Ratios", "Right Triangle Trigonometry" ], "new_concepts": [], "current_concepts": [ "Trigonometric Ratios", "Right Triangle Trigonometry" ] } ## Relacionar el cateto opuesto y la hipotenusa para hallar $x$ $$ \begin{aligned} \sin(58^\circ) &= \frac{45}{x} \ x &= \frac{45}{\sin(58^\circ)} \ x &\approx \frac{45}{0.848048} \ x &\approx 53.06 \end{aligned} $$ ## Relacionar el cateto opuesto y el cateto adyacente para hallar $y$ $$ \begin{aligned} \tan(58^\circ) &= \frac{45}{y} \ y &= \frac{45}{\tan(58^\circ)} \ y &\approx \frac{45}{1.60033} \ y &\approx 28.12 \end{aligned} $$ ## Question a $x = 53.06$ ## Question b $y = 28.12$ { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Geometry", "Right Triangle Trigonometry" ] }

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QUESTION IMAGE

Question

Explanation:

Relacionar el cateto opuesto y la hipotenusa para hallar \(x\)

Relacionar el cateto opuesto y el cateto adyacente para hallar \(y\)

Answer:

Question a

Question b