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
Ask a new question for Free
By Image
Drop file here or Click Here to upload
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
Related Recommendation
Calculate Total Distance and Displacement for a Walking Path
Calculating Distance and Direction Using Trigonometry and the Pythagorean Theorem
Student's Displacement Problem: Determining the Location of School Relative to Home
Calculate Resultant Displacement and Direction of a Hiker's Journey Using Trigonometry
Calculating Total Displacement with Vector Movements