/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 3 Vesna Vulovic survived the longe... [FREE SOLUTION] | 91Ó°ÊÓ

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Vesna Vulovic survived the longest fall on record without a parachute when her plane exploded and she fell 6 miles, 551 yards. What is this distance in meters?

Short Answer

Expert verified
The distance is approximately 10151 meters.

Step by step solution

01

Convert miles to yards

First, convert the 6 miles into yards. Since 1 mile equals 1,760 yards, multiply 6 miles by 1,760 yards/mile:\[6 \text{ miles} \times 1760 \text{ yards/mile} = 10560 \text{ yards}\]
02

Add additional yards

Add the 551 yards to the result from Step 1:\[10560 \text{ yards} + 551 \text{ yards} = 11111 \text{ yards}\]
03

Convert yards to meters

Convert the total yards into meters knowing 1 yard equals approximately 0.9144 meters. Multiply the total yards by 0.9144:\[11111 \text{ yards} \times 0.9144 \text{ meters/yard} = 10151.2854 \text{ meters}\]
04

Round the answer

Round the final answer to the nearest meter for simplicity:\[10151.2854 \approx 10151 \text{ meters}\]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Yards to Meters Conversion
Converting measurements from yards to meters is a common task when dealing with various unit systems, especially between the imperial and metric systems. To convert yards to meters, you use the conversion factor. * One yard is equivalent to approximately 0.9144 meters.To perform the conversion, simply multiply the number of yards by 0.9144. For example, if you have 11111 yards, the conversion to meters is done by calculating:\[11111 \times 0.9144 = 10151.2854 \text{ meters} \]This operation helps in interchanging between units, making it crucial to have a grasp of the conversion factor to seamlessly shift between systems for accurate measurements.
Mile to Yard Conversion
Miles are typically used to measure longer distances, whereas yards are more suitable for shorter spans. One of the most straightforward conversions in the imperial system is from miles to yards. Here’s the key detail:* One mile equals 1760 yards.To convert miles to yards, multiply the number of miles by 1760. For example, if someone fell 6 miles, then the distance in yards would be:\[6 \times 1760 = 10560 \text{ yards} \]Understanding this conversion is essential, particularly in contexts like athletics and travel, where both units may be used interchangeably.
Metric System
The metric system is a decimal-based system of measurement that is used internationally. It provides a simple and standard way to quantify weight, distance, temperature, and much more. * Common units include meters for distance, liters for volume, and grams for weight. * Distances are usually measured in meters (m), kilometers (km), or centimeters (cm). This system is built on powers of ten, which makes conversions simpler. For example, converting from centimeters to meters just requires moving the decimal point two places (since 1 meter equals 100 centimeters). It is popular globally due to its ease of use and uniformity across borders.
Rounding Numbers
Rounding numbers is an essential mathematical skill to simplify figures, making them easier to work with, understand, and communicate. When you round a number, you replace it with a simpler or more general number, keeping the value close to the original. * The process involves looking at the digits of the number. * Typically, if the digit following the rounding point is 5 or greater, you round up. If it's less than 5, you round down. For example, 10151.2854 rounded to the nearest whole number is 10151. This is because the digit after the decimal point, 2, is less than 5. Rounding is very useful in scenarios requiring estimates or dealing with many decimal places, ensuring the numbers are comprehensible and manageable.

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Most popular questions from this chapter

The speed of an object and the direction in which it moves constitute a vector quantity known as the velocity. An ostrich is running at a speed of 17.0 \(\mathrm{m} / \mathrm{s}\) in a direction of \(68.0^{\circ}\) north of west. What is the magnitude of the ostrich's velocity component that is directed (a) due north and \((\mathrm{b})\) due west?

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