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 360 ∘ 60 = 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. 30 ⋅ 6 ∘ = 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 360 ∘ 12 = 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 .

Elementary Geometry for College Students

6th Edition

ISBN: 9781285195698

Author: Daniel C. Alexander, Geralyn M. Koeberlein

Publisher: Cengage Learning

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Chapter 6.1, Problem 24E

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.

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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Chapter 6.1, Problem 23E

Chapter 6.1, Problem 25E

Chapter 6 Solutions

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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 .

Solution Summary: The author explains the measure of the angle formed by the minute hand and the hour hand of a clock when the time is 1:30

Videos

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.

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.

Want to see the full answer?

Chapter 6 Solutions

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 .

Solution Summary: The author explains the measure of the angle formed by the minute hand and the hour hand of a clock when the time is 1:30

Videos

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.

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.

Want to see the full answer?

Chapter 6 Solutions

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.

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.