Chapter 9: Q17. (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.
Milwaukee, Wisconsin; $43 ° N$

Short Answer

Expert verified

(a)

The final answer is $4680.66$ km.

Step by step solution

Step 1. Given information:

The latitude of a city Milwaukee, Wisconsin is $43 ° N$ .

Step 2. Concept used:

We use basic geometric and angle concept

Step 3. Applying the concept:

Sketch of earth:

Now, from the figure, $r = R \cos 43 °$ , where $R$ is the radius of the earth, and $r$ is a radius of required circle.

$∴ r = 6400 \times \cos 43 {}^{\circ},$

$\Rightarrow r = 4680.66$ km.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

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.
Milwaukee, Wisconsin; $43 ° N$

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

Probability and Statistics

Calculus

Logic and Functions

Pure Maths

Decision Maths

Mechanics Maths

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.Milwaukee, Wisconsin; 43°N

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

Probability and Statistics

Calculus

Logic and Functions

Pure Maths

Decision Maths

Mechanics Maths

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.
Milwaukee, Wisconsin; $43 ° N$