trigonometry

Question

) A lighthouse is east of a Coast Guard patrol boat. The Coast Guard station is 20 km north of the lighthouse. The radar officer aboard the boat measures the angle between the lighthouse and the station to be 23°. How far is the boat from the station?

Answer 1

Let the distance between boat and station be x, then 20/x=sin23°, x=20/sin23°=51.19km approx.