296. [T] A building that is 225 feet tall casts a shadow of various lengths x as the day goes by. An angle of elevation is formed by lines from the top and bottom of the building to the tip of the shadow, as seen in the following figure. Find the rate of change of the angle of elevation when x = 272 feet. de dx 225 ft 100 X 0 08

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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Please solve 296. Thank you!
the given
to find
The position of a moving hockey puck after t
seconds is s(t) = tant where s is in meters.
a. Find the velocity of the hockey puck at any time t.
b. Find the acceleration of the puck at any time t.
c.
d.
Evaluate a. and b. for t = 2, 4, and 6 seconds.
What conclusion can be drawn from the results in
c.?
296. [T] A building that is 225 feet tall casts a shadow
of various lengths x as the day goes by. An angle of
elevation is formed by lines from the top and bottom
of the building to the tip of the shadow, as seen in the
following figure. Find the rate of change of the angle of
elevation de
when x 272 feet.
dx
225 ft
75 ft
bluore x somstand
golwstv od 10 simixe
sivom odi mol
100
uwotlot oth ni nwode 26
297. [T] A pole stands 75 feet tall. An angle is formed
when wires of various lengths of x feet are attached from
the ground to the top of the pole, as shown in the following
figure. Find the rate of change of the angle de when a wire
of length 90 feet is attached.
dx
201
X
X
qila
oruisva b
ensial 9
Transcribed Image Text:the given to find The position of a moving hockey puck after t seconds is s(t) = tant where s is in meters. a. Find the velocity of the hockey puck at any time t. b. Find the acceleration of the puck at any time t. c. d. Evaluate a. and b. for t = 2, 4, and 6 seconds. What conclusion can be drawn from the results in c.? 296. [T] A building that is 225 feet tall casts a shadow of various lengths x as the day goes by. An angle of elevation is formed by lines from the top and bottom of the building to the tip of the shadow, as seen in the following figure. Find the rate of change of the angle of elevation de when x 272 feet. dx 225 ft 75 ft bluore x somstand golwstv od 10 simixe sivom odi mol 100 uwotlot oth ni nwode 26 297. [T] A pole stands 75 feet tall. An angle is formed when wires of various lengths of x feet are attached from the ground to the top of the pole, as shown in the following figure. Find the rate of change of the angle de when a wire of length 90 feet is attached. dx 201 X X qila oruisva b ensial 9
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