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olga_2 [115]
3 years ago
15

Two cities have nearly the same​ north-south line of 117 degrees Upper W. The latitude of the first city is 29 degrees Upper N c

ommaand the latitude of the second city is 39 degrees N. Approximate the distance between the cities if the average radius of Earth is 6400 km.
Mathematics
1 answer:
Mariulka [41]3 years ago
4 0

Answer:

1117 km

Step-by-step explanation:

Because the two cities are approximately on the same North-South line, they are on the same longitude. The difference in their latitudes is 39° - 29° = 10°. We are subtracting because they are both in the northern hemisphere. The distance between them is

\dfrac{10}{360}\times2\pi\times6400 \text{ km} = 1117 \text{ km}

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Step-by-step explanation:

Let x be the length of one segment and y be the length of other segment

Then according to given statement

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And

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Putting\ x=4y\ in\ equation\ 1

4y+y=75\\5y=75\\Dividing\ both\ sides\ by\ 5\\\frac{5y}{5}=\frac{75}{5}\\y=15\\Putting\ y=15\ in\ eqn\ 2\\x=4(15)\\x=60

Hence,

The length of one segment is 15 cm and other segment is 60 cm

Keywords: Linear Equation, Variables

Learn more about linear equations at:

  • brainly.com/question/3783529
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