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The bearing of the balloon from its starting point = N 71.9° E

Step-by-step explanation:

To find the distance to the starting point, the wind and the height are perpendicular to each other. So, use the Pythagorean Theorem :

(Distance from the starting point)² = 8.25² + 6.00² = 112.56

⇒ Distance = 10.6 miles

Then to determine the bearing y :

Since the original bearing that the balloon set off at was N 37.5° E,  

⇒  y = 37.5° + 34.4°

       = 71.9°

Hence, The bearing of the balloon from its starting point = N 71.9° E