Doppler Effect II (Both observer and source in motion)

[exi]

Homework Statement

You're flying in an aircraft at 46 m/s. An eagle flies directly towards you at 11 m/s. Speeds are relative to ground.

The eagle emits a cry at 3400 Hz, and the speed of sound is 330 m/s. What frequency do you hear?

Homework Equations

$$f_o = f_s\left( \frac{1\pm\frac{v_o}{v}}{1\mp\frac{v_s}{v}} \right)$$

Because the observer and source are both moving towards each other (presumably?),

$$f_o = f_s\left( \frac{1+\frac{v_o}{v}}{1-\frac{v_s}{v}} \right)$$

The Attempt at a Solution

Seems simple enough, but

$$f_o = 3400\left( \frac{1+\frac{46}{330}}{1-\frac{11}{330}} \right)$$

Works out to 4902.8213 Hz, a wrong answer. This problem seemed straightforward, but I'm not sure what I'm missing.

 

[Dick]

Check your math. That's not what I get.

 

[exi]

Check your math. That's not what I get.

Don't I feel silly, part 2.

4007.5235 Hz. I've got only one remaining shot at that problem; I didn't make any other conceptual mistakes, correct?

 

[Dick]

That's what I get, but I'm not claiming infallibility.

 

[exi]

That's what I get, but I'm not claiming infallibility.

It's correct.

Thanks much, sir; I'll just whistle and blame my calculator now.