Question 1 (1 point) A boy on a treasure hunt walks 12 paces West, then 21 paces North, then 25 paces
East. What is the magnitude of boy's resultant displacement in meters?

The magnitude of the boy's displacement is 24.698 paces which is in the direction of approximately 58.24° North of East

Explanation:

The given parameters are;

The distance West the boy on a treasure hunt walks = 12 paces

The distance North the boy on a treasure hunt then walks = 21 paces

The distance East the boy on a treasure hunt then walks = 25 paces

Writing the displacement in vector format, gives;

d = -12·i + 21·j + 25·i

Which gives

d = 13·i + 21·j

The magnitude of the boy's resultant displacement is given as follows;

Where;

The magnitude of the boy's displacement is 24.698 paces

The direction of the displacement is tan⁻¹(21/13) ≈ 58.24° North of East.

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