The Top of a Ladder Slides Down a Vertical Wall $0.15 \mathrm {~m} / \mathrm { s }$

Multiple Choice

The top of a ladder slides down a vertical wall at a rate of $0.15 \mathrm {~m} / \mathrm { s }$ . At the moment when the bottom of the ladder is $1.5 \mathrm {~m}$ from the wall, it slides away from the wall at a rate of $0.3 \mathrm {~m} / \mathrm { s }$ . How long is the ladder?

A) $3.9 \mathrm {~m}$
B) $2.9 \mathrm {~m}$
C) $4.4 \mathrm {~m}$
D) $3.4 \mathrm {~m}$
E) $2.4 \mathrm {~m}$