Your school is 4 miles east and 1 mine south of your apartment there is a park 3 miles east and 4 miles south of your apartment estimate the distance between the park and your school

The distance between of the park to the school is approximately 8.6 miles

Step-by-step explanation:

The given information are;

The location of the school from the house = 4 miles East and 1 mile South

The location of the park from the house = 3 miles East and 4 mile South

By representing the direction East (x-direction) as being in the direction of vector and the direction South (negative y-direction)  as being in the direction of vector , we have;

The location of the school from the house = 4· +

The location of the park from the house = 3· + 4·

The distance, l, between the park and the school is given by the resultant of the two vectors as follows

= 4· + 3·

= + 4·

Therefore,

The distance between of the park to the school ≈ 8.6 miles.

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step-by-step explanation: