A Ladder 10 Feet Long Is Leaning Against a Wall $4 \mathrm { rad } / \mathrm { s }$

question 74

Multiple Choice

A ladder 10 feet long is leaning against a wall. If the top of the ladder is sliding down the wall at 4 feet per second, how fast is the angle between the top of the ladder and the wall changing when the foot of the ladder is 8 feet away from the wall?

• A) \(4 \mathrm { rad } / \mathrm { s }\)
• B)\(5 \mathrm { rad } / \mathrm { s }\)
• C) \(\frac { 2 } { 3 } \mathrm { rad } / \mathrm { s }\)
• D) \(\frac { 3 } { 2 } \mathrm { rad } / \mathrm { s }\)
• E) \(3 \mathrm { rad } / \mathrm { s }\)
• F) \(\frac { 1 } { 2 } \mathrm { rad } / \mathrm { s }\)
• G) \(2 \mathrm { rad } / \mathrm { s }\)
• H) \(\frac { 3 } { 10 } \mathrm { rad } / \mathrm { s }\)