You start driving north for 63 miles, turn right, and drive east for another 16 miles.
how many miles must you travel to return directly back to your starting point?

You must travel 65 miles to return directly back to your starting point

Given that you start driving north for 63 miles, turn right, and drive east for another 16 miles.

Hence we can say that, you have traveled in form of right angled triangle where the vertical leg is 63 miles and horizontal leg is 16 miles

The route you travel to get back to starting point is the hypotenuse

The reference figure for right angled triangle is attached below

BC = length of hypotenuse

AB = length of vertical leg of right angled triangle

AC = length of horizontal leg of right angled triangle

Let from the figure AB = 63 miles,  

Then I turned right and drive east for another 16 miles

So, let AC = 16 miles

Now, To reach directly back to the starting point,  

The amount of distanced to be traveled back to starting point is BC

Which can be calculated using Pythagoras theorem

The Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

By above definition, we get

BC = 65 miles

Hence , the distanced to be traveled back to your starting point is 65 miles

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights