To remember the ratios, use the mnemonic sohcahtoa.
S = O/H
C = A/H
T = O/A
In this case, we want S, sin. The side opposite angle X would be 24. The hypotenuse is 26, so the ratio is 24/26. <span />
The standard equation for a parabola that opens upward parallel to the y-axis is x2=4ay, where a = distance from the vertex to focus. Vertex is at origin(0,0)
4a=2
a=2/4
a=1/2 or 0.5
the coordinate of the focus is (0, 1/2)
the equation of the directrix is y=-1/2
First, solve for slope.
Formula for slope:
Plug in values:
Slope:
Second, we must plug into point-slope form.
Formula for point-slope:
Plug in the values
hope this helps