Point C is on line segment \overline{BD} BD . Given BD=16 BD=16 and BC=7,BC=7, determine the length \overline{CD}. CD .

Step-by-step explanation:

Remember SOH CAH TOA! The relationship between sin x degrees and cos of y degrees is that they are the same things! For example, sin is opposite/hypotenuse. In this case it would be 6/x. To get cos, you do adjacent/hypotenuse. It would also be 6/x. Remeber, the sin of angle is equal to the cos of the angle across and visa versa. Hope it helps!!

To find these values, you must first know how to use sine and cosine. Sin = opp/hyp and cos = adj/hyp. Now you fill in these sides with the numbers. So, sin(x°) = 6/x and cos(y°) = 6/x. You cannot simplify any further since both the angle and the hypotenuse are both variables. However, you notice that the cos(y°) and sin(x°) are equal. This verifies the rule that the sine of a given angle is equal to the cosine of a complementary angle relative to the given angle.