Finding distance from sonic boom

[leinad0213]

Homework Statement

A supersonic plane passes directly over an observer at point P, flying due west at an altitude of 11.6 km and a speed of Mach 1.60. What is the plane's horizontal distance from point P when the sonic boom is heard?

I can assume T = 20C therefore Vs = 343 m/s

Homework Equations

Mach = V/Vs

Sinθ = V/Vs

The Attempt at a Solution

I have no idea. I do know however a right triangle is involved, but I don't know where to go from there.

 

[SteamKing]

Why don't you draw a diagram of the problem and see if that helps?

 

[DaveC426913]

Yep. SK's right. It should make the problem clearer.