Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Vector Addition
Trigonometry
Angle Calculation

Formulas

Vector component formulas: \( A_x = A \cos(\theta_A) \) and \( A_y = A \sin(\theta_A) \)
Resultant vector components: \( R_x = A_x + B_x \) and \( R_y = A_y + B_y \)
Direction of resultant vector: \( \theta = \tan^{-1} \left( \frac{R_y}{R_x} \right) \)

Theorems

Trigonometric Functions
Inverse Tangent Function

Suitable Grade Level

Grades 10-12