Math Problem Statement

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The image shows a portion of a bridge supported by two vertical pillars built from the points B and C on the slope below.

The length of the bridge between pillar B and pillar C is  feet.

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Trigonometry

Formulas

Distance formula
Trigonometric ratios (sine, cosine) for slopes

Theorems

Pythagorean theorem
Slope-angle relationships

Suitable Grade Level

Grades 10-12