On the coordinate grid of a map, Josie's house is located at ( 2 , 7 ). Her school is located at ( -5 , 5 ). If each map unit equals one mile, what is the approximate distance from her house to her school?A) 2.83 miles B) 4.79 miles C) 7.28 miles D) 12.37 miles
Accepted Solution
A:
Answer:Option C. [tex]7.28\ miles[/tex]Step-by-step explanation:we know thatthe formula to calculate the distance between two points is equal to[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]Let[tex]A(2,7)\\E(-5.5)[/tex] substitute the values[tex]d=\sqrt{(5-7)^{2}+(-5-2)^{2}}[/tex][tex]d=\sqrt{(-2)^{2}+(-7)^{2}}[/tex][tex]d=\sqrt{53}\ units[/tex]Remember thateach map unit equals one mileso[tex]\sqrt{53}\ units=\sqrt{53}\ miles=7.28\ miles[/tex]