Answer:

Step-by-step explanation:

Basic trig concepts you have to keep in mind:
SOH CAH TOA
Sine: Opposite of the angle over the hypotenuse
Cosine: Adjacent over hypotenuse
Tangent: Opposite over adjacent
I'll do one of the problems, you should be able to do the rest (It's good practice ;))
The fraction of winners that were women is 40/718 which simplifies to 20/359
The fraction of winners that were men is 678/718 which simplifies to 339/359
In rectangular form, we have the coordinates 