Algebra-2

This diagram shows a right triangle where the right angle is at point B. The length of the hypotenuse AC is 30, the length of the side CB adjacent to angle C is 18, and the length of the side AB opposite angle C is 24. In this triangle, angle C 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 C, the side opposite the angle is AB with a length of 24, and the hypotenuse is AC with a length of 30.

Therefore, the sine of angle C is given by:

Click "Show Answer" to reveal the answer and analysis