How to Find the Displacement and Angle of a Drifting Balloon?

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To find the displacement and angle of a drifting balloon, the problem involves calculating the resultant vector from the balloon's movements: 2.5 km north, 3.0 km east, and 1.6 km in elevation. The first step is to create vectors for the north and east movements, and then determine how to incorporate the elevation vector, which is vertical. The hint suggests using the tangent function and Pythagorean theorem to find the magnitude of the resultant vector in the horizontal plane. This approach will help in calculating both the total displacement and the angle with respect to the horizontal. Understanding these vector components is crucial for solving the problem effectively.
shaiqbashir
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Hi!

Well this is the problem which is so much confusing because I am not sure what method to follow while solving it. Plz Help me!

"A balloon drifts 2.5km north, 3.o Km east and 1.6 Km in elevation from its release point. find the magnitude of the displacement and the angle the displacement vector makes with the horizontal."

Thanks in advance!
 
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What's you contribution so far to solving this problem...?

Daniel.
 
Hi!

Well u have asked me about my contribution, listen i have try to make a north-directioned vector(2.5Km) then an Ease-directioned vector(3 Km) and now I am getting confused that how to make that elevation vector, should i try to make it from my starting point then what will be its direction will it be vertically upward?

Plz help me, i have a very short time!
Thanks
 
It doesn't matter.HINT:The resulting vector when adding the 2 N & E vectors is the orthonormal projection of the vector u wish to uniquely determine on the Oxy (choosen he axis as Ox & Oy respectively) plane.U'll have to use the tangent function and Pythagora's theorem in a right triangle.

Daniel.
 
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