write the ratios for sin x and cos x.

First Option

,  

Step-by-step explanation:

We know that the sine function is defined as:

In the same way the cosine function is defined as:

Therefore it is fulfilled that:

Opposite: is the length of the side opposite angle

Adjacent: It is the length of the side that contains the angle of 90 ° and angle  

Hypotenuse: It is the length of the side opposite the angle of 90 °

So for angle X:

Finally:

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answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula