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; $35 ° S$

Short Answer

Expert verified

The final answer is $5305.84$ km.

Step by step solution

Step 1. Given information:

The latitude of a city Sydney, Australia is $34 ° S$ .

Step 2. Concept used:

We use basic geometric and angle concept

Step 3. Applying the concept:

Sketch of earth:

Now, from the figure, $r = R \cos 34 °$ , where $R$ is the radius of the earth, and $r$ is a radius of the required circle.

$∴ r = 6400 \times \cos 34 {}^{\circ},$

$\Rightarrow r = 5305.84$ km.

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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; $35 ° S$

Short Answer

Step by step solution

Step 1. Given information:

Step 2. Concept used:

Step 3. Applying the concept:

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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°S

Short Answer

Step by step solution

Step 1. Given information:

Step 2. Concept used:

Step 3. Applying the concept:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Mechanics Maths

Logic and Functions

Discrete Mathematics

Calculus

Statistics

Study anywhere. Anytime. Across all devices.

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; $35 ° S$