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A truck is moving north at a speed of 70 km/h. The exhause pipe above the truck cab seeds out a tail of smoke that makes an angle of 20 degree east of south behind the truck. If the wind is flowing directly towards the east. What is the speed at that location?

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asked by Sunday
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    posted by Sunday
  2. 70 sin20° = 23.9 km/hr
    Think about it. If there were no wind, the smoke would go straight back, appearing to go south

    If the wind were blowing at 70 km/hr east, the smoke would go as far east as it did south, making a 45° angle.

    So, the more it appears to go to the south, the slower the wind is blowing to the east.

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    posted by oobleck

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