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Answer:
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.