94.0k views
1 vote
Suppose you walk 21.5 m straight east and then 12.5 m straight north. How far are you from your starting point (in m)

User RJR
by
2.8k points

1 Answer

0 votes

Answer:

24.9 m

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as the equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

You walk 21.5 m straight east and then 12.5 m straight north. This forms a right angled triangle with a horizontal distance of 21.5 m, a vertical distance of 12.5 m and the hypotenuse is the distance between the ending and starting point. Let x represent the distance between the ending and starting point. Therefore using Pythagoras theorem:

x² = 21.5² + 12.5²

x² = 462.25 + 156.25

x² = 618.5

Taking square root of both sides:

√x² = √618.5

x = √618.5

x = 24.9 m = distance between the ending and starting point.

User Zack Yezek
by
3.7k points