For this case we have that by definition of trigonometric relations of rectangular triangles, that the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. So:
Where h is the hypotenuse.
We cleared h:
We rationalize:
ANswer:
Option A
Given that the triangles are similar.
When triangles are similar, all three pairs of corresponding sides are in the same ratio.
Similarly in the given triangles, the ratio of the corresponding sides are equal.
Cross multiplying, we get
Dividing both sides of the equation by -4.
So, we get
x = 7.