Determine Speed of Plane Flying Horizontally

[reza1]

Homework Statement

A plane traveling horizontally passes overhead at a height h at t=0. at time t=t1 a sonic boom i heard.

b.) Determine the speed of the Plane

Ma=1/sin(pheta)
pheta=arctan(h/x)

Ma=1/sin(arctan h/vt)


I think I've done it correct up to this point...
Do i have to find the sin of (arctan h/vt) which is h/vt/ SQRT(h^2-vt^2)... ? i don't know how to solve for V ... any help would be appreciated thank you

Homework Equations

The Attempt at a Solution

 

[Dick]

You really don't need any angles. Draw the right triangle at time t1. The two sides are h and v*t1. If c is the speed of sound then the hypotenuse is c*t1. Use the pythagorean theorem and solve for v1. The problem is simpler than you think.