## Math Problem Statement

Do the calculations

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Geometry

Analytic Geometry

Angles between Lines and Planes

Parametric Equations

### Formulas

Cosine of the angle between a line and a plane: cos(θ) = |dz| / |d|

Magnitude of the direction vector: |d| = sqrt(a² + b² + c²)

Intersection of parametric line with plane: x1 = (5a)/c, x2 = (5b)/c

### Theorems

Vector Geometry

Angle between Line and Plane

### Suitable Grade Level

Grades 11-12 or College Level