i have posted this question up alot of times before but i guess no one gets it because no one ever replies..

find the latitude of Spokane, WA if Spokane and Jordan Valley, OR, 43.15degN, are 486 km apart.
(assuming that the cities lie on the same norht-south line and that the radius of the earth is 6400 km.)
my choices are
A. 47.50degN
B. 38.80degN
C. 52.46degN
D. 39.50degN
i drew this whole problem out and i crossed out C and D from my answer choices...i think its A or B but im not sure which one

Along a north-south meridian, one degree is about 70 miles or 112 km. 486 km is thus 4.3 degrees.

4.33 + 43.15 = 47.48 degres

Pick option (a)

Sorry I can only do this problem in nautical miles :)

(where one degree of latitude is one mile)

thnks u guys

A MINUTE of latitude is a nautical mile.

You do not need to compute in nautical miles to get the correct answer.

dude, nobody will ever understand this, its so difficult!!!!!

To find the latitude of Spokane, WA, we need to use the information given about its distance from Jordan Valley, OR. Let's break down the problem step by step:

1. Understand the problem:
We have two cities, Spokane, WA, and Jordan Valley, OR, which are 486 km apart. We are assuming that these cities lie on the same north-south line, and the radius of the Earth is 6400 km. We need to determine the latitude of Spokane, WA.

2. Use the formula for calculating the angle subtended by an arc on a sphere:
The formula to calculate the angle (latitude) subtended by an arc on a sphere is:
Angle (in degrees) = (arc length / circumference of the sphere) * 360

3. Calculate the arc length:
By using the formula for arc length, we can determine the distance in degrees between Spokane, WA, and Jordan Valley, OR:
Arc length (in degrees) = (distance between cities / circumference of the Earth) * 360

Plugging in the values:
Arc length (in degrees) = (486 km / 6400 km) * 360

4. Calculate the latitude of Spokane, WA:
Since we know that both cities are on the same north-south line, we can assume that the latitudes of both cities are equal. Therefore, the latitude of Spokane, WA, will be equal to the arc length (in degrees) calculated earlier.

5. Evaluate the answer choices:
Using the given answer choices: A. 47.50degN, B. 38.80degN, C. 52.46degN, D. 39.50degN.
Compare the calculated arc length (in degrees) with the answer choices to determine the correct latitude.

By following this approach, you should be able to find the correct answer.