Find Coordinates of the Center of Each Hole

Section 4.3

Here is my set up for 69:

Top Hole:

x = 38 cos 60
y = 38 sin 60

Bottom Hole:

x = 38 cos 30
y = 38 sin 30

Yes?

 

x = 38 cos 60 ......where 38 comes from?

 

I meant to use 30 degrees not 38 degrees.

Here it is again:

Top Hole:

x = 30 cos 60
y = 30 sin 60

Bottom Hole:

x = 30 cos 30
y = 30 sin 30

Yes?

 

for the first hole you have a 30-60-90 triangle with hypothenuse 56
Bottom Hole:
sin(30)=y/56 ->y=56sin(30)
cos(30)=x/56 -> x=56cos(30)

similar for the Top Hole:
y=56sin(60)
x=56cos(60)

 

Thank you for your help and correction.