f(t) = arctan(d)(2/(5+1)) Preview f. Find the average rate of change of the of the angle measure, in degrees, relative to the ground with respect to time over each given interval. i. The first 5 seconds the person has began walking. 2.1 Preview ii. From 5 seconds to 10 seconds since the person began walking. -0.74305 Preview i1i. From 10 second to 15 seconds since the person began walking.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 73E
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Question

part f. 

Let 0 is measured in degrees. The light pole is still 2.7 meters tall, and the person is still 1.5 meters tall.
The person begins walking away from the light pole with an intial distance of 3 meters.
a. Which of the quantities in the problem are varying?
I h 0 d s
O O O O -
b. Which of the quantities in the problem are fixed?
1 d s e h.
O 0 0 o 0
c. Write an expression for the distance of the person from the light pole, measured in meters, in terms
of the number of seconds, t, since they began walking.
d
• Preview
3+0.6t
d. Write an expression for the length of the person's shadow, measured in meters, in terms of the
number of seconds, t, since they began walking.
3/4(5+1)
Preview
e. Using the tan d() or arctan d() functions, write the function rule for a function f which determines
measure of the angle, 0, measured in degrees, in terms of the number of seconds, t, since the person
began walking.
f(t) = arctan(d)(2/(5+t))
Preview
f. Find the average rate of change of the of the angle measure, in degrees, relative to the ground with
respect to time over each given interval.
i. The first 5 seconds the person has began walking.
-2.1
Preview
ii. From 5 seconds to 10 seconds since the person began walking.
-0.74305
Preview
i11. From 10 second to 15 seconds since the person began walking.
Preview
Enter a mathematical expression more.
Transcribed Image Text:Let 0 is measured in degrees. The light pole is still 2.7 meters tall, and the person is still 1.5 meters tall. The person begins walking away from the light pole with an intial distance of 3 meters. a. Which of the quantities in the problem are varying? I h 0 d s O O O O - b. Which of the quantities in the problem are fixed? 1 d s e h. O 0 0 o 0 c. Write an expression for the distance of the person from the light pole, measured in meters, in terms of the number of seconds, t, since they began walking. d • Preview 3+0.6t d. Write an expression for the length of the person's shadow, measured in meters, in terms of the number of seconds, t, since they began walking. 3/4(5+1) Preview e. Using the tan d() or arctan d() functions, write the function rule for a function f which determines measure of the angle, 0, measured in degrees, in terms of the number of seconds, t, since the person began walking. f(t) = arctan(d)(2/(5+t)) Preview f. Find the average rate of change of the of the angle measure, in degrees, relative to the ground with respect to time over each given interval. i. The first 5 seconds the person has began walking. -2.1 Preview ii. From 5 seconds to 10 seconds since the person began walking. -0.74305 Preview i11. From 10 second to 15 seconds since the person began walking. Preview Enter a mathematical expression more.
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