Shock Waves Traveling to the Ground from a Jet

[Barry Melby]

A jet flying directly over you at an altitude of 3300 m produces a shock wave. The angle of the shock wave is 43 degrees. How long will it be until the sonic boom reaches you? How far does the jet travel during this time interval?

I know that I can figure out the second part of this problem if I get the first part, but I am not getting the correct answer for the first part.

For the first part I took 3300/sin(43) to get the total distance for the sound to travel to the ground. I then took this number and divided it by 343 m/s (speed of sound) to get approximately 14 seconds, but this appears to be wrong. Where did I go wrong?

 

[JBA]

The shock wave is a cone traveling with and trailing behind the airplane.

 

[SteamKing]

Please don't delete the HW template when posting a HW thread.

What's the relationship between the speed of the plane and the angle of the shock wave?