work through the steps to find the length of the top part of the tree that broke off, $ac$.

$\overline{ac}$ is the hypotenuse.

which equation is used to find the top of the tree that broke off?
$x = 8 \cos 38^\circ$
$x = \frac{8}{\cos 38^\circ}$
$x = 8 \sin 38^\circ$
$x = \frac{8}{\tan 38^\circ}$
$x = 8 \sin 38^\circ$

round your answer to the nearest tenth.

what is the length of the top part of the tree that broke off?
$ac =$ m

Question

work through the steps to find the length of the top part of the tree that broke off, $ac$.

$\overline{ac}$ is the hypotenuse.

which equation is used to find the top of the tree that broke off?
$x = 8 \cos 38^\circ$
$x = \frac{8}{\cos 38^\circ}$
$x = 8 \sin 38^\circ$
$x = \frac{8}{\tan 38^\circ}$
$x = 8 \sin 38^\circ$

round your answer to the nearest tenth.

what is the length of the top part of the tree that broke off?
$ac =$   m

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Trigonometric Ratios", "Right Triangle Trigonometry" ], "new_concepts": [], "current_concepts": [ "Trigonometric Ratios", "Right Triangle Trigonometry" ] } ## Set up the trigonometric equation $$ \cos(38^\circ) = \frac{8}{x} $$ ## Solve for x $$ x = \frac{8}{\cos(38^\circ)} $$ ## Calculate the numerical value $$ \begin{aligned} \cos(38^\circ) &\approx 0.7880 \ x &\approx \frac{8}{0.7880} \approx 10.152 \ x &\approx 10.2 \end{aligned} $$ What is the length of the top part of the tree that broke off? $AC =$ 10.2 m { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Right Triangle Trigonometry" ] }

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Question

Explanation:

Set up the trigonometric equation

Solve for x

Calculate the numerical value

Answer: