Question

help me with trig please :(

a boat sails 14 km west, then 12 km south. find its true bearing from its starting point.

Answer 1

What is its starting point?

Answer 2

that's all it says

Answer 3

well I will make an example to hopefully explain to you how to solve it lets say the starting is (0,0)

Answer 4

If it is 14 west and 12 south west being left south being down we will move 14 spaces left on the graph and then 12 spaces down and make a point there.

Answer 5

I would double-check if I am correct with someone else as I am not 100% sure.

Answer 6

You should find the angle x. use trig: tan x = opposite/adjacent = 12/14
tan x = 6/7
\[ x = \tan^{-1}\left(\frac{6}{7}\right) \]