given right triangle def, what is the value of $\sin(e)$?

$\frac{4}{3}$

$\frac{3}{4}$

$\frac{3}{5}$

$\frac{4}{5}$

Question

given right triangle def, what is the value of $\sin(e)$?

$\frac{4}{3}$

$\frac{3}{4}$

$\frac{3}{5}$

$\frac{4}{5}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Pythagorean Theorem", "Trigonometric Ratios", "Sine Ratio" ], "new_concepts": [], "current_concepts": [ "Pythagorean Theorem", "Trigonometric Ratios", "Sine Ratio" ] } ## Find the missing side length DF $$ \begin{aligned} &ED^2 + DF^2 = EF^2\ &8^2 + DF^2 = 10^2\ &64 + DF^2 = 100\ &DF^2 = 36\ &DF = 6 \end{aligned} $$ ## Calculate the sine of angle E $$ \begin{aligned} &\sin(E) = \frac{\text{Opposite}}{\text{Hypotenuse}}\ &\sin(E) = \frac{DF}{EF}\ &\sin(E) = \frac{6}{10} = \frac{3}{5} \end{aligned} $$

(A) $\frac{4}{3}$

(B) $\frac{3}{4}$

(C) $\frac{3}{5}$

(D) $\frac{4}{5}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Trigonometric Ratios" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Find the missing side length DF

Calculate the sine of angle E

Answer: