When Two Railroad Tracks Merge, the Overlapping Portions of the Tracks

question 36

Multiple Choice

When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure) .The radius of each arc r (in feet) and the angle θ are related by ​ ​
Write a formula for x in terms of cos θ.
​ ​

• A)​
• B)​
• C) ​
• D) ​
• E) ​

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Definitions:

Energy Equation

A mathematical representation of the balance between energy intake from food and energy expenditure due to basal metabolism and physical activity.

Bioelectrical Impedance

A method for estimating body composition, particularly body fat, by measuring the resistance to an electrical current as it passes through the body.

Moderate-Intensity Exercise

Physical activity that raises your heart rate to 50-70% of your maximum heart rate, perceived as "somewhat hard."

Overweight

A condition characterized by having more body fat than is optimally healthy, often defined by a Body Mass Index (BMI) over 25.