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

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) $\frac { 3 } { 10 } \mathrm { rad } / \mathrm { s }$