Trig
posted by Victoria .
An historic lighthouse is 200 yards from a bike path along the edge of a lake. A walk to the lighthouse is 400 yards long. Find the acute angle feta between the bike path and the walkway.
I found sin which was 1/2. The book says feta is 30 degrees. But how does the value of sin contribute to this and where does thirty degrees come from?

You are correct to say that sin(theta) = 1/2
we also know that sin 30 = 1/2
so isn't theta = 30 ?
Make sure your calculator is set to degrees.
enter
200 / 400
=
press 2ndF or INV, whichever your calculator uses
press SIN
=
you should get 30 degrees.
BTW, who is this feta guy? Did you mean theta, the Greek letter?
I think feta is some kind of cheese.