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Chapter 9: Q20. (page 342)

In Exercises 17-20, the latitude of a city is given. Sketch the earth and a circle of latitude through the city. Find the radius of this circle.

Rio de Jamarion; 23°S

Short Answer

Expert verified

The final answer is 5891km.

Step by step solution

01

Step 1. Given information:

The latitude of a city Rio de Janerio is 23°S.

02

Step 2. Concept used:

We use basic geometric and angle concept

03

Step 3. Applying the concept:

Sketch of earth:

Now, from the figure, r=Rcos34°, where Ris the radius of the earth, and ris a radius of the required circle.

∴   r=6400×cos23,∘

⇒   r=5891km.

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