betty frequently drives to a movie theatre in a nearby town If she drive on the main roads she must drive 3 miles east and then 4miles north?

to get to the theatre. How many miles shorter is the route through the woods that runs diagonally from her house to the theatre, as shown in the drawing?

A) 1

B) 2

C) 3

D) 4

E) 5

4 Answers

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  • 3 weeks ago

    Betty frequently drives to a movie theatre in a nearby town.

    If she drives on the main roads, she must drive 3 miles east

    and then 4miles north to get to the theatre.

    How many miles shorter is the route through the woods

    that runs diagonally from her house to the theatre?

    Answer choice:

    B) 2

  • oubaas
    Lv 7
    3 weeks ago

    distance d = 3+4 = 7.0 miles

    displacement D = √3^2+4^2 = √25 = 5.0 miles

  • sepia
    Lv 7
    3 weeks ago

    Betty frequently drives to a movie theatre in a nearby town.

    If she drives on the main roads, she must drive 3 miles east

    and then 4miles north to get to the theatre.

    How many miles shorter is the route through the woods

    that runs diagonally from her house to the theatre?

    Answer choice:

    B) 2

  • Ash
    Lv 7
    3 weeks ago

    The diagonal distance is hypotenuse of a triangle with other sides made by East distance of 3 miles and Northe distance of 4 miles

    This is a 3-4-5 triangle . so diagonal distance is 5 miles

    If you want to find by calculation then

    diagonal distance = √(3²+4²) = √(9+16) = √25 = 5 miles

    Now original distance covered = 3miles + 4 miles = 7 miles

    while diagonal distance = 5 miles

    So the diagonal distance is 7 miles - 5 miles = 2 miles shorter

    Answer is B

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