Consider the following problem: A6 meter long ladder leans against a wall when the bottom of the ladder slides away from the wall at a rate of 0.5 m/s. How fast is the angle between the top of the ladder and the wall changing, when the angle is radians? Wall y Ladder Ground If you wanted to solve the above problem, which of the following equations would be best to differentiate? Hint: We want to relate the known variables with the variable we are looking for. Oz= 6 sin() Oz= 6 sin 0 O 0.52 + y? = 62 O2+ v? = 36 OV=z tan 0 Oy =z tan ()

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section4.6: Graphing Combinations Of Functions
Problem 49PS
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Consider the following problem:
A 6 meter long ladder leans against a wall when the bottom of the ladder slides away from the wall at a rate of 0.5 m/s. How fast is the angle between the top of the ladder and the wall changing, when the angle is I radians?
Wall
y
Ladder
Ground
If you wanted to solve the above problem, which of the following equations would be best to differentiate?
Hint: We want to relate the known variables with the variable we are looking for.
Oz= 6 sin()
6 sin 0
O 0.52 + y? = 62
O z' + y?
36
O y
I tan 0
O y
tan(등)
Transcribed Image Text:Consider the following problem: A 6 meter long ladder leans against a wall when the bottom of the ladder slides away from the wall at a rate of 0.5 m/s. How fast is the angle between the top of the ladder and the wall changing, when the angle is I radians? Wall y Ladder Ground If you wanted to solve the above problem, which of the following equations would be best to differentiate? Hint: We want to relate the known variables with the variable we are looking for. Oz= 6 sin() 6 sin 0 O 0.52 + y? = 62 O z' + y? 36 O y I tan 0 O y tan(등)
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