Marcus sails due north and Sandra sails due east from the
same starting point. In two hours, Marcus's boat is 35 miles
from the starting point and Sandra's boat is 28 miles from the
starting point. How far are the boats from each other? Round to
the nearest hundredth of a mile.

The boats are 44.82 miles from each other.

Step-by-step explanation:

The direction of movement of Marcus and Sandra forms a right angle triangle.

The distance sailed by Marcus due North would represent the opposite side of the right angle triangle.

The distance sailed by Sandra due east would represent the adjacent side of the right angle triangle.

The distance, h between the both of them after 2 hours represents the hypotenuse of the right angle triangle.

To determine h, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

h² = 35² + 28² = 1225 + 784

h² = 2009

h = √2009

h = 44.82 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