I added a picture with it for you. I suggest that before this becomes an issue you take some time and study box and whisker plots, because they tend to show up on a lot of standardized math tests.
Suppose that two small cities have the same longitude, which gives the east-west position of a point on Earth's surface. One has
latitude 23 degrees north, and the other has latitude 47 degrees. Assume Earth is a sphere with the a radius of 6,380km. Find the distance between the cities to the nearest kilometer.
_______km
Rewrite the arc length formula for an angle measure x given in radians, and simplify.
L=_________
_______km
Rewrite the arc length formula for an angle measure x given in radians, and simplify.
L=_________
1 answer:
Answer:
Distance between A and B is 2672 km.
Step-by-step explanation:
Since one city B is having latitude of 23° and other town is having latitude of 47°.Radius of Earth has been given as 6380 km.
Therefore arc A from x-axis will be A = 2πr(∅/360) = 2×3.14×6380×(47/360)
= 5230.90 km
Now arc B from x-axis = 2πr(∅'/360) = 2×3.14×6380(23/360) = 2559.80 km
Therefore distance between them = 5230.9-2559.8 = 2671.9 ≅ 2672 km
Now we will rewrite the arc length formula in radians.
arc A = r×(∅×π/180)
arc A = 6380×(47×π/180) = 1665.9π
arc B = 6380×(23×π/180) = 815.22π
Now the distance between A and B = 850.68π
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