Math Problem Statement

Encuentre la resultante de los siguientes desplazamientos: A: 20 millas a 30° al sureste; B: 50 millas hacia el oeste; C: 40 millas a 30° al noreste; D: 30 millas a 60° al suroeste.

Solution

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Math Problem Analysis

Mathematical Concepts

Vector Addition
Trigonometry

Formulas

Vector Components: Vx = V * cos(θ), Vy = V * sin(θ)
Resultant Vector: R = √(Rx^2 + Ry^2)
Angle of Resultant: θ = tan⁻¹(Ry/Rx)

Theorems

Pythagorean Theorem
Trigonometric Functions

Suitable Grade Level

Grades 10-12