### 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.

Answered: Image /qna-images/answer/e41705cd-307a-4c2f-9a2d-af3e4cf99625.jpg

Answered: 2. Find the measure of the smaller…

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°.

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Concept explainers

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.

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.

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