Determine the exact expression for the following.

Question

- cos(pi/4)=(x/60)
I got x=60/√2 Is that correct?

Also, I had a lot of trouble with this one:
cos(pi/6)=(z/60)
I got z=(√3 (60/√2))/2
That doesn't seem right, but I don'r know what I', doing wrong. Also, I used a unit circle to get the values for cos.

Answer 1

First one is ok
Second one:
cos(pi/6) = √3/2
so z = 60(√3/2) = 30√3

Answer 2

thank you so much! :)