I'm having some problems with this question and would appreciate some help. Here it is typed out word-for-word:
There was another question about calculating the height of the balloon from the ground, which I did without any problems.A hot-air balloon, B, is observed simultaneously from two points, P and Q, on horizontal ground. From P the bearing of B is 60 degrees at an angle of elevation of 45 degrees. From Q the bearing of B is 330 degrees at an angle of elevation 60. The distance BQ is 800m.
Calculate the bearing of Q from P.
The way I keep working it out is that since B is at a 60 degree bearing from P, and since the line PB is at a 45 degree angle with the line PQ, the bearing from P to Q is simply 60 + 45 = 105 degrees. This answer makes sense to me, but unfortunately it's not the same as as the book gives, so I'm obviously missing something here.
Any help much appreciated indeed!