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 school?
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Answer:
7.28 miles
Step-by-step explanation:
House location = (2, 7)
School location = (-5, 5)
The School and Josie's house represent two points of a right triangle.
Thus, the distance between them will be the hypotenuse H.
The vertical leg is the difference in y coordinates 7-5=2
The horizontal leg is the difference in x coordinates 2-(-5)=7
Therefore, according to the Pythagorean theorem- a²+b² = c²
= 2² + 7² = H²
= (4+49) = H²
H =√(53)
= 7.28 miles
Thus, the approximate distance between the School and Josie's house is 7.28 miles
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