A hiker walks 5 km due east and then 12 km due north.

MATHEMATICS · Multi-part · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

A hiker walks 5 km due east and then 12 km due north. (i) Calculate the magnitude of the resultant displacement. (ii) Find the angle (to the nearest degree) that this displacement makes with the eastward direction.

Related theory

Pythagoras' Theorem
Triangle Properties
Vector Operations
Vectors
Vector Algebra
Addition of vectors

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