A hiker walks 10 miles north from camp. Then he turns and walks 4 miles east. How far is the hiker from the original campsite?

Approximately 10.77 miles or 2 miles

Step-by-step explanation:

If the hiker walks 10 miles north then turns 4 miles east, he forms a right triangle, with the hypotenuse being his distance from the camp. The legs of the triangle measure 10 miles and 4 miles. You would then use the pythagorean theorem , a and b being the miles travelled (10 miles and 4 miles) and c being the distance from the campsite. Plugging 10 for a and 4 for b we get

simplify

add 100 and 16

then take the square root of both sides

and simplify

≈ 10.77 miles

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: