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find \\sin(x) given the triangle. enter your answer as a fraction. draw

Question

find \sin(x) given the triangle. enter your answer as a fraction. draw

Explanation:

Step1: Recall sine definition

For an acute angle in a right triangle, $\sin(\theta) = \frac{\text{opposite side}}{\text{hypotenuse}}$.

Step2: Identify sides for angle $x$

Opposite side to $x$ is 126, hypotenuse is 130.

Step3: Simplify the fraction

$\sin(x) = \frac{126}{130} = \frac{63}{65}$

Answer:

$\frac{63}{65}$