document.write( "Question 1034319: a balloon is rising at the rate of 12 feet/seconds and at the same time is being blown horizontally by a wind at 18 feet/seconds. find the angle its path makes with the vertical and determine its actual velocity. \n" ); document.write( "

Algebra.Com's Answer #648941 by Boreal(15235) $\"\"$ $\"About$

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if you draw this and look at the vector, the hypotenuse of the triangle, the resultant, is the square root of (12^2+18^2)=sqrt (468)=21.63 ft/sec
\n" ); document.write( "The angle with the vertical is the tangent (18/12)=1.5
\n" ); document.write( "tan(-1) (1.5)=56.31 degrees, which is the angle with the vertical. This makes intuitive sense, since the balloon is rising less quickly than it is being moved horizontally, and therefore has an angle with the vertical greater than 45 degrees.
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