Check my Math please!

[CybrSlydr]

I'm taking trig this semester in College and I couldn't pass up this opportunity to try and plot my first intercept of a convoy.

Here are the details:

Convoy is reported to me at 1450hrs. It's heading East at Medium speed.

I draw a line from the convoy East, past my position. I then draw a line North from my position (I'm south east of the convoy) and have the two lines intersect. I'm 125km south of the intersect point. I draw a line from my position to the convoy and measure the angle (54 degrees).

I then use tangent since I have the opposite and adjacent sides to my triangle and one angle. So my formula is thus:

125 * tan54[degrees] = 172

This means the distance from where the convoy currently is until it reaches the intercept location is 172km.

I then divide the 172km by 8kts (medium speed for convoys is about 8kts, correct?) and get 21.5 hours until they reach the intercept point from their current position. Since the report time was 1450 hrs, I round up to 1500 and get the time for my intercept at approximately 1130hrs the next morning.



-------

Did I do this correctly?