Final answer:
If the wind speed increased to 17 m/s, the helicopter would be traveling eastward against the wind at a speed of 58 m/s.
Step-by-step explanation:
In this scenario, the helicopter is traveling eastward at a speed of 75 m/s, while the wind is blowing westward at a speed of 8 m/s. The helicopter's speed against the wind can be calculated by subtracting the wind speed from the helicopter's speed: 75 m/s - 8 m/s = 67 m/s.
If the wind speed were to increase to 17 m/s, we would again subtract this from the helicopter's speed to find the new speed against the wind: 75 m/s - 17 m/s = 58 m/s. Therefore, if the wind speed increased to 17 m/s, the helicopter would be traveling eastward against the wind at a speed of 58 m/s.