Question

Pittsburgh, Pennsylvania and Miami, Florida are on the same meridian. Pittsburgh has a latitude of 40.5 ◦ N, and Miami is at 25.5 ◦N. Find the distance between the two cities. The radius of the Earth is 3960 miles.

Answer 1

The distance between Pittsburgh, Pennsylvania and Miami, Florida is approximately 1650 miles.

Step-by-step explanation:

To find the distance between Pittsburgh, Pennsylvania and Miami, Florida, we can use the fact that they are on the same meridian. The meridian is a line of longitude that runs from the North Pole to the South Pole. Since Pittsburgh has a latitude of 40.5° N and Miami is at 25.5° N, we can calculate the difference in latitude between the two cities. The difference in latitude is 40.5 - 25.5 = 15 degrees.

Next, we need to convert the difference in latitude to a distance on the Earth's surface. We'll assume that the radius of the Earth is 3960 miles. Since 360 degrees of latitude covers the entire circumference of the Earth, we can use the formula:

distance = (circumference of Earth / 360) × difference in latitude

Substituting the values, we get:

distance = (27 × 3960 / 360) × 15 = 1650 miles

So, the distance between Pittsburgh and Miami is approximately 1650 miles.

Answer 2

Distance between Pittsburgh and Miami is 1672.05 m

Step-by-step explanation:

We have given that Pittsburgh has a latitude of 40.5°N

And Miami is at 25.5°N

Radius of earth R=3960 miles

Circumference of earth
`40129.2`

Difference between latitudes of Pittsburgh and Miami = 40.5°-25.5° =15°

We know that 360°= total circumference

So 15° =
`(15)/(360)* 40129.2=1672.05meter`

So distance between Pittsburgh and Miami is 1672.05 m