Velocity of a plane when you hear a sonic boom?

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To determine the speed of a plane when a sonic boom is heard at a 45° angle, one must apply trigonometric principles to analyze the situation. The Doppler effect formula for a receding source is mentioned, but it is noted that frequency shift is not relevant for this problem. Creating a triangle diagram to visualize the relationship between the plane's speed and the observer's position is essential. The discussion emphasizes the importance of understanding the geometry involved in the scenario. Overall, a combination of trigonometry and physics principles is necessary to solve the problem accurately.
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Homework Statement


A plane flies directly over your head. When the plane is 45° above the horizon from your perspective, you hear a sonic boom. How fast is the plane flying?

Homework Equations


Doppler effect for a receding source
f- = fo / (1+Vsource/c)

The Attempt at a Solution


Any help would be appreciated, I'm not sure where to start!
 
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The doppler shift of the frequency is not relevant. You need to make a triangle diagram of the speeds and do a little trigonometry.
 
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