   Chapter 6.1, Problem 24E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

State the measure of the angle formed by the minute hand and the hour hand of a clock when the time is a) 1 : 30 P.M b) 2 : 20 A.M

To determine

a)

To state:

The measure of the angle formed by the minute hand and the hour hand of a clock when the time is 1:30 P.M.

Explanation

Given:

The given time is 1:30 P.M.

Calculation:

Consider the picture of the clock that shows the time 1:30 P.M.

A clock is a circle, and a circle always contains 360 degrees.

Since there are 60 minutes on a clock, each minute mark is 36060=6.

At 1:30, the minute hand on the clock will point at 30 minutes, allowing us to calculate it's position on the circle.

306=180

Since the clock is divided into 12 parts(hours), therefore the measure of the central angle between any two numbers is one-twelth of the circle.

Hence 36012=30

That is each hour mark is 30

To determine

b)

To state:

The measure of the angle formed by the minute hand and the hour hand of a clock when the time is 2:20 A.M.

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