2. On the wall of Mr. Piamonte's house, a 6 meter picture was hung so that its location is 5 meters above an observer's eye. How far should the observer stand from the wall so that the angle subtended by the picture at the eye shall be maximum?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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task 3 

answer 2 & 3 only

dr
Substituting the values,
dt
dr
Solving
10 ft
%3D
dt
64m min
10 ft
647n min
Therefore, the rate of the radius is
E
Learning Task 3: Analyze the given problems. Sketch the figure of the given
situation. and tell whether it is application on logarithmic function, inverse
trigonometric function or related rates.
1. For y=in2x, determine the equation of a tangent line parallel to 2x-3y+1-0.
2. On the wall of Mr. Piamonte's house, a 6 meter picture was hung so that its
location is 5 meters above an observer's eye. How far should the observer
stand from the wall so that the angle subtended by the picture at the eye
shall be maximum?
3. Herrera's ship is 70 kilometers due north of Arias' fishing vessel in a noon
of a certain day. The ship sails east at 12 kilometers per hour and the fish-
ing vessel sails west at 8 kilometers per hour, how fast is the distance be-
tween them changing 4 hours later?
66
PIVOT 4A CALABARZON
Transcribed Image Text:dr Substituting the values, dt dr Solving 10 ft %3D dt 64m min 10 ft 647n min Therefore, the rate of the radius is E Learning Task 3: Analyze the given problems. Sketch the figure of the given situation. and tell whether it is application on logarithmic function, inverse trigonometric function or related rates. 1. For y=in2x, determine the equation of a tangent line parallel to 2x-3y+1-0. 2. On the wall of Mr. Piamonte's house, a 6 meter picture was hung so that its location is 5 meters above an observer's eye. How far should the observer stand from the wall so that the angle subtended by the picture at the eye shall be maximum? 3. Herrera's ship is 70 kilometers due north of Arias' fishing vessel in a noon of a certain day. The ship sails east at 12 kilometers per hour and the fish- ing vessel sails west at 8 kilometers per hour, how fast is the distance be- tween them changing 4 hours later? 66 PIVOT 4A CALABARZON
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