Online Distance Measuring

Introduction to online distance measuring:

Distance is a numerical description of how far apart objects are. In mathematics, a distance function is a generalization of the concept of physical distance.

The distance d between any two points (x1, y1) and (x 2, y2) can be calculated using the following formula,

Distance, d = `sqrt ((x2 - x1)^2 + (y2 - y1)^2)`

If the speed and time is known, then distance d is given by

Distance, d = Speed * Time

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Example problems for online distance measuring:


Measuring distance through online is very simple. In online, if  we enters the data for which the distance is to be measured, it performs the specified operations automatically and generates the required solution for the problem. The example problems are given below which shows online distance measuring with steps in detail.

Example 1:

Using distance formula, calculate the distance between the points (2, 5) and (5, 6).

Solution:

Step 1: Assign variables

x1 = 2     x2 =5

y1= 5      y2 = 6

Step 2: Plug all values in the distance formula

d = `sqrt((x2 - x1)^2 + (y2 - y1)^2)` ........... Distance formula

=  `sqrt(((5 - 2)^2+(6 - 5)^2))`

Step 3: Solve the above equation and find distance

= `sqrt((3)^2+ (1)^2)`

= `sqrt (9 + 1)`

= `sqrt10`

= 3.162

Step 5: Solution

The distance between the points (2, 5) and (5, 6) is 3.162

Example 2:

If a bike runs at the speed of 50kmph and it covers the certain distance in 6 hours, then find out the distance covered by it?

Solution:

Step 1: Given

Speed = 50kmph

Time = 6 hours

Step 2: Formula to find distance

Distance, d = Speed * Time

Step 3: Substitute all values in the formula

d = 50 *6

= 300

Step 4: Solution

Therefore, the total distance covered by the car is 300km

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Practice problems for online distance measuring:


The practice problems are given below which helps you for learning online distance measuring.

1) Using distance formula, calculate the distance between the points (-4, 5) and (- 3, 8).

2) Find out the distance covered by the train if it runs at the speed of 60kmph and it covers the certain distance in 5 hours?

3) Using distance formula, calculate the distance between the points (6, 8) and (1, - 7).

Solutions:

1) d = 3.162

2) d = 300km

3) d = 15.811