Question

Two ships leave port at the same time. One travels at 5km/h on a bearing of 046°. The other travels at 9km/h on a bearing of 127°. How far apart are the ships after two hours?​

Answer 1

Answer:

You do not sail on a "bearing". You sail on a "heading". A bearing is a direction you look at another ship or a lighthouse or whatever. " That tanker bears south by Southwest for example. Math texts drive me nuts. Landlubbers.

Anyway:

first ship east (+x) distance = 10 cos 46 = 6.95 km

first ship north (+y) distance = 10 sin 46 = 7.19 km

180 - 127 = 53 degrees north of west

second ship east distance = -18 cos 53 = - 10.8 km

second ship north distance = 18 sin53 = 14.4 km

difference east-west = 6.95 + 10.8 =

difference north south = 14.4 - 7.9 =

Step-by-step explanation: