Algebra-2

This diagram shows a right triangle where the right angle is at point Y. The length of the hypotenuse ZX is 29, the length of the side XY adjacent to angle X is 21, and the length of the side ZY opposite angle X is 20. In this triangle, angle X is the angle for which we need to find the sine value.

In a right triangle, the sine (sin) is defined as the ratio of the side opposite the angle (the side opposite the right angle) to the hypotenuse. In this problem, for angle X, the side opposite the angle is ZY with a length of 20, and the hypotenuse is ZX with a length of 29.

Therefore, the sine of angle X is given by:

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