00:01
The diagram is drawn as shown, with the first leg labeled as ab, the second leg as bc, and the last leg as ca.
00:08
The question asks to find the bearings of the second and last legs.
00:12
The bearing of the second leg is determined by the measurement of angle x in the northeast direction, as shown in the diagram.
00:20
Angle x can be calculated by subtracting angle b from 90 degrees.
00:26
We use the cosine law to find angle b.
00:30
By substituting the lengths of ac, bc, and ab into the formula, we can solve for angle b.
00:37
We find that angle b is 55 .81 degrees.
00:42
Therefore, the bearing of the second leg is obtained by subtracting the measure of angle b from 90 degrees.
00:49
This calculation yields a bearing of 34 .2 degrees northeast.
00:55
It is rounded to one decimal place...