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)

24.9 m

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.

the word that best describes martin luther king jr.'s tone in the video is dignified

martin luther king, jr. was a social activist and baptist minister who played a key role in the american civil rights movement from the mid-1950s until his assassination in 1968. the video shows his manner and attitude having or showing a composed or serious manner that is worthy of respect so dignified is the correct answer

hypothesising or postulating