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Chapter 9: Q19. (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.

Sydney, Australia; 35掳S

Short Answer

Expert verified

The final answer is 5305.84km.

Step by step solution

01

Step 1. Given information:

The latitude of a city Sydney, Australia is 34掳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掳, where Ris the radius of the earth, and ris a radius of the required circle.

鈭�鈥�鈥�鈥�r=6400脳cos34,鈭�

鈬�鈥�鈥�鈥�r=5305.84km.

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