Suppose a wall clock has a second hand that is 12 cm long. An equation relating d, the distance of the tip of the second hand from the 'horizontal' (a level line through the middle of the clock) with t , time in seconds, beginning when the second hand is pointing up at 12 o'clock would be: d(t) = -12sin (t – 15)]. [30 10 the horizontal Suppose the clock is running faster than usual. Which part of the equation above would be affected? Explain why. Provide an equation showing the clock's second hand moving at a faster speed.

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°.
icon
Related questions
Question
100%
Suppose the second hand was longer than 12 cm. Which part of the equation above would be affected? Explain
why. Provide an equation representing a clock with a longer second hand.
To ensure that the wall clock is placed at a good viewing height it is recommended that the minimum distance
from the tip of the second hand to the ground be no less than 180 cm and that maximum distance from the tip of
the second hand to the ground be no more than 200 cm. Provide the equation of a function representing d, the
distance from the tip of the second hand to the ground and t, time in seconds, beginning when the second hand is
pointing to the 6. Show your work and explain why your equation works.
Transcribed Image Text:Suppose the second hand was longer than 12 cm. Which part of the equation above would be affected? Explain why. Provide an equation representing a clock with a longer second hand. To ensure that the wall clock is placed at a good viewing height it is recommended that the minimum distance from the tip of the second hand to the ground be no less than 180 cm and that maximum distance from the tip of the second hand to the ground be no more than 200 cm. Provide the equation of a function representing d, the distance from the tip of the second hand to the ground and t, time in seconds, beginning when the second hand is pointing to the 6. Show your work and explain why your equation works.
Suppose a wall clock has a second hand that is 12 cm long. An equation relating d, the distance of the tip of the
second hand from the 'horizontal' (a level line through the middle of the clock) with t , time in seconds, beginning
when the second hand is pointing up at 12 o'clock would be:
d(t) = -12sin(t – 15).
30
the 'horizontal"
10
Suppose the clock is running faster than usual. Which part of the equation
above would be affected? Explain why. Provide an equation showing the
clock's second hand moving at a faster speed.
4
Transcribed Image Text:Suppose a wall clock has a second hand that is 12 cm long. An equation relating d, the distance of the tip of the second hand from the 'horizontal' (a level line through the middle of the clock) with t , time in seconds, beginning when the second hand is pointing up at 12 o'clock would be: d(t) = -12sin(t – 15). 30 the 'horizontal" 10 Suppose the clock is running faster than usual. Which part of the equation above would be affected? Explain why. Provide an equation showing the clock's second hand moving at a faster speed. 4
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Knowledge Booster
Limits and Continuity
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning