ap-calculus-ab None Q34

ap-calculus-ab · USA · -bc_1969-1998_multiple-choice-collection Connected Rates of Change Geometric Related Rates with Distance or Angle

34. In the figure above, $P Q$ represents a 40-foot ladder with end $P$ against a vertical wall and end $Q$ on level ground. If the ladder is slipping down the wall, what is the distance $R Q$ at the instant when $Q$ is moving along the ground $\frac { 3 } { 4 }$ as fast as $P$ is moving down the wall?
(A) $\frac { 6 } { 5 } \sqrt { 10 }$
(B) $\frac { 8 } { 5 } \sqrt { 10 }$
(C) $\frac { 80 } { \sqrt { 7 } }$
(D) 24
(E) 32

34. In the figure above, $P Q$ represents a 40-foot ladder with end $P$ against a vertical wall and end $Q$ on level ground. If the ladder is slipping down the wall, what is the distance $R Q$ at the instant when $Q$ is moving along the ground $\frac { 3 } { 4 }$ as fast as $P$ is moving down the wall?\\
(A) $\frac { 6 } { 5 } \sqrt { 10 }$\\
(B) $\frac { 8 } { 5 } \sqrt { 10 }$\\
(C) $\frac { 80 } { \sqrt { 7 } }$\\
(D) 24\\
(E) 32\\

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