Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Vectors
Force Decomposition
Trigonometry

Formulas

Resultant Force: |F_resultant| = sqrt((F_horizontal)^2 + (F_vertical)^2)
Angle of Resultant Force: θ = tan^(-1)(F_vertical / F_horizontal)

Theorems

Pythagoras' Theorem
Trigonometric Functions (Sine and Cosine)

Suitable Grade Level

Grades 9-11