use sine, cosine, or tangent to solve each right triangle. round all angle measures to the nearest tenth and all side measures to the nearest tenth.

$m\angle t = $
$rt = $
$rs = $

Question

use sine, cosine, or tangent to solve each right triangle. round all angle measures to the nearest tenth and all side measures to the nearest tenth.

$m\angle t = $
$rt = $
$rs = $

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" ], "new_concepts": [], "current_concepts": [ "Trigonometric Ratios", "Right Triangle Trigonometry" ] } ## Find the measure of angle T $$ \begin{aligned} m\angle T &= 90^\circ - 57^\circ \ m\angle T &= 33^\circ \end{aligned} $$ ## Calculate the length of RT $$ \begin{aligned} \sin(57^\circ) &= \frac{15}{RT} \ RT &= \frac{15}{\sin(57^\circ)} \ RT &\approx \frac{15}{0.83867} \approx 17.885 \ RT &\approx 17.9 \end{aligned} $$ ## Calculate the length of RS $$ \begin{aligned} \tan(57^\circ) &= \frac{15}{RS} \ RS &= \frac{15}{\tan(57^\circ)} \ RS &\approx \frac{15}{1.53986} \approx 9.741 \ RS &\approx 9.7 \end{aligned} $$ Use sine, cosine, or tangent to solve each right triangle. Round all angle measures to the nearest tenth and all side measures to the nearest tenth. $m\angle T =$ 33$^\circ$ $RT =$ 17.9 $RS =$ 9.7 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Trigonometric Ratios" ] }

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QUESTION IMAGE

Question

Explanation:

Find the measure of angle T

Calculate the length of RT

Calculate the length of RS

Answer: