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Chapter 9: Q18. (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.

Columbus, Obie; 40掳N

Short Answer

Expert verified

(a)

The final answer is 4902.68km.

Step by step solution

01

Step 1. Given information:

The latitude of a city Columbus, Ohio is 43掳N.

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=Rcos43掳, where Ris the radius of the earth, and ris a radius of required circle.

鈭�鈥�鈥�鈥�r=6400脳cos43,鈭�

鈬�鈥�鈥�鈥�r=4680.66 km.

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Most popular questions from this chapter

JK炉 is tangent to 鈯�P and 鈯�Q.

JK=?

a. Draw a three large circles and inscribe a different shaped quadrilateral ABCDin each.

b. Use a protractor to measure all the angles.

c. Compute m鈭�A+m鈭�C and m鈭�B+m鈭�D..

d. What is the relationship between opposite angles of an inscribed quadrilateral?

Find the measure of central 鈭�1.

In exercises 8-13 find the angle or the arc named.

鈭�EQF

Find the measure of central 鈭�1.
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