Find the distance between the two after 1 hour.

Question

Ship “A” leaves port P on course 3000 degrees true and on the same time ship “B” leaves port P on course N 300degrees E. After sailing for 1 hour, ship “A” has travelled 10 nautical miles and found ship “B” bearing 500 degrees true.

Find the distance between the two after 1 hour.

Answer 1

ASA for a triangle

you're given

angle side angle, call them AcB

and you want to find side a opposite angle A

use an online triangle calculator a = about 4.062 miles

if A=30 degrees

c=8 miles

B=50 degrees

that's not exactly the problem you asked, but solve your c=10 with whatever 2 angles, A and B you want the same way to get a=distance between the two ships

or if you want to solve by hand

find C =180-30-50=100

then use the law of sines to find side a

a/sinA=c/sinC

a= sinA(c)/sinC