Answer:
Step-by-step explanation:
The side lengths of all 30-60-90 triangles are in ratio , where is the hypotenuse of the triangle and is the side opposite to the 30 degree angle.
In the given diagram, the side labelled 4 is opposite to the 30 degree angle. Since is labelled as the hypotenuse of the triangle, must be .
Variable must then represent for , yielding
w=2.5
divide 12.5 by 5: 12.5/5=2.5, so w=2.5