Hey guys im stuck here, could you please please help me out with the question,
if possible with explanation how to do it too.
You are flying along the 315* radial from a VOR/DME. On a heading of 310*M and flying a TAS of 450 kt, at 0650 UTC you are 93NM from the DME. At 0655 UTC you hav reach 135 NM from the DME. Variation off the map is 16*E. What is the most likely W/V?
answers
A 005/54
B 165/70
C 105/65
D 180/70 probably correct
Hello. I have done some calculations. My Result is a little bit different from all answers.
In the first stage, you disregard variation, because VOR radials are magnetic bearings and your heading is also magnetic. So the angle of heading 5 degrees to the left from your track. Your GS can be obtained from time and DME: 5 minutes = 42 NM -> 1 minute = 42/5 = 8.4 -> 60 minutes = 504 KTS.
From here you work with a Cosine sentence:
c^2=a^2+b^2-2*a*b*cos(Gamma)
you fill in:
a:450
b:504
Gamma: 5 degrees
you get C = 68 kts - wind velocity.
if you have this, you use Sine sentence:
a/sine(Alpha) = b/ sine(Beta)
you fill in:
a: 68
b: 450
Alpha: 5 degrees
Then you get angle of 35 degrees.
This is the angle, which is added to your track, from where the wind is blowing. So, if you add 35 to 315, you get wind blowing to 350, from 170.
Wind is 170/68 Magnetic, if you add variation, you get final wind blowing 186/68.
Please, someone, correct me if I`m wrong.