Convert between metric and customary units

Learning Objectives Identify the necessary conversion factor to switch between a given metric and customary unit of length. Convert a side length of a right triangle from a metric unit (e.g., meters, centimeters) to a customary unit (e.g., feet, inches). Convert a side length of a right triangle from a customary unit to a metric unit. Apply the Pythagorean theorem to right triangles with side lengths given in mixed unit systems by first converting them to a single system. Solve trigonometric problems (sine, cosine, tangent) involving right triangles where the final answer requires a unit conversion. Analyze and solve real-world word problems involving right triangles that require conversions between metric and customary units. Ever wonder how an American architect (using fee...

TermDefinitionExample Metric SystemA decimal-based system of measurement used by most of the world, based on units like the meter, liter, and gram.The height of a standard door is about 2 meters. Customary System (U.S.)The system of measurement primarily used in the United States, including units like feet, inches, pounds, and gallons.The same door is about 6 feet 7 inches tall. Conversion FactorA ratio or fraction which represents the relationship between two different units and is equal to 1.The ratio `(2.54 cm / 1 inch)` is a conversion factor used to change inches to centimeters. Dimensional AnalysisA problem-solving method that uses conversion factors to change units. Units are treated like algebraic variables that can be cancelled out.To convert 5 inches to cm, you calculate `5 \tex...

Length Conversion: Inches to Centimeters (Exact) 1 \text{ inch} = 2.54 \text{ centimeters} This is the fundamental, exact conversion factor for length. Use it to convert inches to centimeters by multiplying by 2.54, or centimeters to inches by dividing by 2.54. Length Conversion: Feet to Meters (Approximate) 1 \text{ meter} \approx 3.281 \text{ feet} A common and useful approximation for larger distances. To convert meters to feet, multiply by 3.281. To convert feet to meters, divide by 3.281. The Conversion Process (Dimensional Analysis) \text{Given Quantity} \times \frac{\text{Desired Unit}}{\text{Given Unit}} = \text{Result in Desired Unit} To convert a measurement, multiply it by a conversion factor (a fraction equal to 1) where the unit you want to cancel out is...