solve the right triangle.
round your answers to the nearest tenth.

$b = \box^{\circ}$
$c = \box$

Question

solve the right triangle.
round your answers to the nearest tenth.

$b = \box^{\circ}$
$c = \box$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Right Triangle Trigonometry" ], "new_concepts": [ "Solving Right Triangles" ], "current_concepts": [ "Right Triangle Trigonometry", "Solving Right Triangles" ] } ## Find the missing angle B Using the *Right Triangle Trigonometry* knowledge point $$ B = 90^\circ - 56^\circ = 34^\circ $$ ## Find the hypotenuse c Using the *Right Triangle Trigonometry* knowledge point $$ \begin{aligned} \sin(56^\circ) &= \frac{29}{c} \ c &= \frac{29}{\sin(56^\circ)} \ c &\approx \frac{29}{0.8290} \approx 35.0 \end{aligned} $$ ## Find the adjacent side b Using the *Right Triangle Trigonometry* knowledge point $$ \begin{aligned} \tan(56^\circ) &= \frac{29}{b} \ b &= \frac{29}{\tan(56^\circ)} \ b &\approx \frac{29}{1.4826} \approx 19.6 \end{aligned} $$ ## Question 1 - $B = 34^\circ$ - $b = 19.6$ - $c = 35.0$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Right Triangle Trigonometry" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Find the missing angle B

Find the hypotenuse c

Find the adjacent side b

Answer:

Question 1