Question

Annapolis , MD and San Diego , CA are 2298 miles apart . How far apart would they be on a map that used a scale factor of 2cm:30miles

Answer 1

Answer:

153.2 cm

Step-by-step explanation:

So, Annapolis and San Diego are 2298 miles apart, if every 30 miles is equivalent to 2 cm, we need to find how many cm are equivalent to 2298. An easy way is to find the equivalence in cm if 1 mile, lets do this.

If 2 cm are 30 miles, we can say that:

2cm = 30 m

If we divide both sides by 30, we get 1 mile on the right side:

2/30 cm = 1 m

1/15 cm = 1 m

0.06667 = 1 m

Then, 1 mile is equivalent to 1/15 cm or 0.06667 cm. Thus, we need to multiply this value for 2298 to find out what is the equivalence in cm for 2298 miles:

(1/15)*2298 = 153.2 cm

So, we get that San Diego and Annapolis will be at a distance of 153.2 cm, or 1.532 meters.

I hop its understandable!