It's a law of cosines or sines question

Question

A ship at sea is 70 miles from one radio transmitter and 130 miles from another. The measurement of the angle between the signals is 130. How far apart are the transmitters?

Answer 1

use the law of cosines

d=distance the transmitters are apart

d²=70²+130²-2(70)(130)(cos[130])

d²=4900+16,900-18,200(-0.64278761)

d²=4900+16,900+11,699 (the last number is rounded to the nearest whole number)

d²=33,499

d=√33,499

d≈183 miles apart