Amonkey running through the jungle goes 0.198 km straight to the east, then turns 15.8° deflection from straight east toward the south, and then goes 145 m in a straight line in the diagonal direction he is now facing. what is the displacement of the monkey? (put your answer in standard units)

Explanation:

Displacement

It's a vector magnitude that measures the space traveled by a particle between an initial and a final position. The total displacement can be obtained by adding the vectors of each individual displacement. In the case of two displacements:

Given a vector as its polar coordinates (r,\theta), the corresponding rectangular coordinates are computed with

And the vector is expressed as

The monkey first makes a displacement given by (0.198 km,0°). The angle is 0 because it goes to the East, the zero-reference for angles. Thus the first displacement is

The second move is (145 m , -15.8°). The angle is negative because it points South of East. The second displacement is

The total displacement is

In (magnitude,angle) form:

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explanation: