contestada

Two groups of hikers leave the same camp heading in opposite directions. The first group travels 4 miles north and 3 miles east. The second group

travels 2 miles south and 5 miles west.

a. Draw the situation in the coordinate plane using a right triangle. Use the origin as the camp location, and let each unit represent 1 mile. For example,

the point (2, 1) would represent 2 miles east and 1 mile north of the camp.

b. Determine the distance between the two groups after the hikes.

Respuesta :

Addispaddi

Answer:

The first groups travels 7 miles total, and the second group travels 7 miles in total also

Step-by-step explanation:

They are completely equal

The Distance between the two groups after the hikes, as per Pythagoras Theorem, is  10 miles.

Coordinate Plane

In a Graph the points at which the first group will meet are (4, 3) and second group will meet at (-2, -5). So The Right Triangle have three points, A(4,3), B(-2,3), and C(-2, -5).

On Connecting these point in the graph we will get AB = 6 miles, BC= 8 miles, with Angle ABC as the right angle.

By the pythagoras theorem, we know that (AC)^2 = AB^2 + BC^2

AC is the distance between these two groups, hence

AC^2 = 6^2 × 8^2

AC^2 = 100

AC = √100

AC = 10

Thus, the distance between the two groups after the hikes is 10 miles.

Learn more about Coordinate plane here:

https://brainly.com/question/13854649

Otras preguntas