2. Find the measure of the smaller angle (in degrees-minutes) formed by the minute hand and the hour hand on an analog clock when it is 1: 27 am. - a diagram is required.
2. Find the measure of the smaller angle (in degrees-minutes) formed by the minute hand and the hour hand on an analog clock when it is 1: 27 am. - a diagram is required.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
![### Problem 2
**Task:** Find the measure of the smaller angle (in degrees-minutes) formed by the minute hand and the hour hand on an analog clock when it is 1:27 am.
**Hint:** A diagram is required.
#### Instructions:
- Use geometric reasoning and properties of clocks to deduce the angle.
- Create a diagram illustrating the clock with the positions of the hour and minute hands at 1:27 am.
- Calculate the angle in degrees and minutes.
Educational Objectives:
1. Develop problem-solving skills using real-life objects such as an analog clock.
2. Practice calculating angles in degrees and minutes.
3. Enhance understanding of geometric principles applied to circular objects.
#### Diagram Explanation:
A diagram should display:
- A circular clock with hour markers from 1 to 12.
- The minute hand pointing at the 27-minute mark.
- The hour hand positioned slightly past the 1-hour mark, reflecting the fraction of the hour elapsed.
Example diagram (not provided here) should clearly label the angles between the minute and hour hands. The central focus would be visualizing and calculating the smallest angle between these two hands.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa67d6a0f-cfef-471e-b61f-a19e916fb032%2Fe41705cd-307a-4c2f-9a2d-af3e4cf99625%2Ffqbztw.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem 2
**Task:** Find the measure of the smaller angle (in degrees-minutes) formed by the minute hand and the hour hand on an analog clock when it is 1:27 am.
**Hint:** A diagram is required.
#### Instructions:
- Use geometric reasoning and properties of clocks to deduce the angle.
- Create a diagram illustrating the clock with the positions of the hour and minute hands at 1:27 am.
- Calculate the angle in degrees and minutes.
Educational Objectives:
1. Develop problem-solving skills using real-life objects such as an analog clock.
2. Practice calculating angles in degrees and minutes.
3. Enhance understanding of geometric principles applied to circular objects.
#### Diagram Explanation:
A diagram should display:
- A circular clock with hour markers from 1 to 12.
- The minute hand pointing at the 27-minute mark.
- The hour hand positioned slightly past the 1-hour mark, reflecting the fraction of the hour elapsed.
Example diagram (not provided here) should clearly label the angles between the minute and hour hands. The central focus would be visualizing and calculating the smallest angle between these two hands.
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