Representation of the wave crests

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SUMMARY

The discussion centers on calculating the Doppler shift (Δf = f′–f) of an ambulance siren as perceived by Jim, who is driving at 88.0 km/h. The angle θ is given as 59.0°. The correct Doppler shift value is determined to be 0.229 kHz. The user initially struggled with the calculation due to an error in vector component analysis but ultimately arrived at the correct answer.

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mexqwerty
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I've been trying to do the following question but I can't get the right answer. Also, I put in the wrong thread title but I don't know how to change it (sorry).

An ambulance is at rest in a traffic jam in front of an intersection. At that moment, Jim is driving his car at 88.0 km/h through the intersection as shown in the diagram below. In the diagram, the angle θ = 59.0 °.

What is the doppler shift (Δf = f′–f) heard in the siren sound by Jim, when Jim and the ambulance are positioned as shown on the diagram above? The answer is 0.229 kHZ.
 

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Never mind. I got the answer. I was just calculating the wrong vector component. Thanks for looking, anyway.
 
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