Nicole asked in Science & MathematicsMathematics · 4 months ago

# 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

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• 4 months 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?

B) 2

• oubaas
Lv 7
4 months ago

distance d = 3+4 = 7.0 miles

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

• sepia
Lv 7
4 months 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?

B) 2

• Ash
Lv 7
4 months 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