Question

A ship is tied to two anchors on the shoreline. The anchor line on the left forms a 46 degree angle with the shoreline and is 350 feet long. The anchor line on the right forms a 63 degree angle with theshoreline and is 283 feet long. Find the exact distance (in feet) between the two anchors.

Please show all work

Answer 1

use the Law of Sines

the angle at the ship is
... 180º - 46º - 63º

283 ft / sin(43º) = 350 ft / sin(63º)
... = x / sin(180º - 46º - 63º)

Answer 2

i mis-transposed the 43º
... it should be 46º