As a balloon is launched from the ground, thewind is blowing it due east. The co

Question

As a balloon is launched from the ground, thewind is blowing it due east. The conditions are such that theballoon is ascending along a straight line with slope 1/6. After 2 hours the balloon is 6000 feet vertically above theground. How far east has the balloon blown? As a balloon is launched from the ground, thewind is blowing it due east. The conditions are such that theballoon is ascending along a straight line with slope 1/6. After 2 hours the balloon is 6000 feet vertically above theground. How far east has the balloon blown?

Explanation / Answer

If the balloon is ascending at a slope of 1/6 then this means forevery 1ft it rises it covers 6ft of ground to the east. So if wehave risen 6000ft then we must divide this by 6 to determine howfar east it has gone. Which will give you 1000ft

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