Math Problem Statement

Suppose you walk 5 km in a direction of 58 degrees west of north and then walk 4 km in a direction 49 degrees south of west. How far in km are you from your starting point? Number only. No units. 2 decimals.

Solution

7.13

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Math Problem Analysis

Mathematical Concepts

Vector Addition
Trigonometry
Pythagorean Theorem

Formulas

distance = √(x^2 + y^2)
x = r * cos(θ)
y = r * sin(θ)

Theorems

Pythagorean Theorem
Law of Cosines

Suitable Grade Level

Grades 9-12