Ahiker climbs a mountain. starting at the base of the mountain, he first moved up 520m at a 32.0 degree angle. what is the final displacement of the hiker?

Explanation:

Displacement Vector

Suppose an object is located at a position  

and then moves at another position at

The displacement vector is directed from the first to the second position and can be found as

If the position is given as magnitude-angle data ( z , α), we can compute its rectangular components as

The question describes the situation where the initial point is the base of the mountain, where both components are zero

The final point is given as a 520 m distance and a 32-degree angle, so  

The displacement is