Find sin A and write as a simplified fraction.

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Find sin A.

The sine of an angle is defined as the ratio of the side opposite the angle to the hypotenuse.

x is labeled the hypotenuse therefore use the pythagorean theorem to find x.

15^2 + 36^2 = x^2

`x =sqrt(36^2 + 15^2) = 39`

x = 39

The solution is sin A = `15/39` = `5/13.`

sin A = `5/13.`

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