What are the Vector Components for a Plane's Emergency Landing in Galisto?

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To determine the vector components for a plane's emergency landing in Galisto, the plane's flight path consists of two segments: 180 km at 68 degrees east of north and 260 km at 48 degrees south of east. The first segment contributes both a northward and an eastward component, while the second segment adds a southward and eastward component. By calculating these components separately, one can assess their overall impact, including potential cancellation of the north-south components. Trigonometric functions are essential for resolving these vectors into their respective components. The final calculations will provide the necessary information for locating the plane's landing position.
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Homework Statement


A plane leaves the airport in Galisto and flies 180 km at 68.0 (degrees) east of north and then changes direction to fly 260 km at 48.0 (degrees) south of east, after which it makes an immediate emergency landing in a pasture.


Homework Equations


Trig equations?


The Attempt at a Solution


Well I tried to use trigonometry to find any of the angles, but where I get stuck is, I only know the 2 given sides, that's about it.
 
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SaltyBriefs said:

Homework Statement


A plane leaves the airport in Galisto and flies 180 km at 68.0 (degrees) east of north and then changes direction to fly 260 km at 48.0 (degrees) south of east, after which it makes an immediate emergency landing in a pasture.


Homework Equations


Trig equations?


The Attempt at a Solution


Well I tried to use trigonometry to find any of the angles, but where I get stuck is, I only know the 2 given sides, that's about it.

The first part of the trip will have a North-South Component [going North] and an East-West component [going East]
The second part will had a North-South Component [going South] and an East-West Component [going East]
Add the components separately [who knows, the North-South Components might actually cancel out] to get two over-all components from which you can locate the plane.
 

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