Calculating Distance Using Coordinates

The video tutorial explains how to calculate the distance between two cities using their coordinates when a GPS malfunctions. It introduces the problem, sets up a coordinate system, and constructs a right triangle to apply the Pythagorean theorem. The tutorial demonstrates the calculation process with an example, showing how to use the distance formula to find the distance between two points given their coordinates.

What is the main problem discussed in the introduction?

• Finding distance when GPS fails

• Measuring distance with a ruler

• Calculating distance using a map

• Using a compass for navigation

What information is available to calculate the distance between two cities?

• Distance shown on GPS

• Coordinates of the cities

• Weather conditions

• Map of the area

What is the purpose of introducing a coordinate axis?

• To calculate time

• To measure angles

• To represent cities as points

• To draw a map

Which theorem is used to find the distance between two points?

• Pythagorean theorem

• Thales' theorem

• Euclid's theorem

• Fermat's theorem

What does the Pythagorean theorem state in this context?

• The angles are equal

• The product of the sides is constant

• The square of the hypotenuse is equal to the sum of the squares of the other two sides

• The sum of the angles is 180 degrees

How is the horizontal distance between two points calculated?

• By multiplying the x-coordinates

• By subtracting the x-coordinates

• By adding the x-coordinates

• By dividing the x-coordinates

What is the formula for calculating the distance between two points?

• Square root of the sum of the squares of differences in coordinates

• Sum of the differences in coordinates

• Product of the differences in coordinates

• Difference of the squares of coordinates

What are the coordinates of City A in the example?

• (5, 6)

• (1, 2)

• (0, 0)

• (3, 4)

What are the coordinates of City B in the example?

• (3, 4)

• (1, 2)

• (4, 6)

• (0, 0)

What is the first step in solving the example?

• Measuring the angle

• Finding the midpoint

• Drawing a map

• Calculating the difference in x-coordinates