The distance between Mary and Rogers houses is 2.47 miles.
Step-by-step explanation:
From the given information we can form a right angle triangle.
Refer to the image given below.
N mentions the north and W mentions the south.
S denoted the School.
M denotes Mary's home - 2.1 miles away from School and forms one side of the triangle.
R denotes Roger's home - 1.3 miles away from School and forms another side of the triangle.
The distance between their houses will be the hypotenuse side of the triangle.
Hypotenuse side = [tex]\sqrt{M^{2} +R^{2} }[/tex] .
= [tex]\sqrt{2.1^{2} +1.3^{2} }[/tex].
= [tex]\sqrt{4.41+1.69}[/tex].
=[tex]\sqrt{6.1}[/tex].
= 2.47.
Distance between their houses =2.47 miles.
