A 30-ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 18 ft from the wall and sliding away from the wall at the rate of 3 ft/sec?
?
Hint: Refer to the accompanying figure. By the Pythagorean theorem, 
. Find 
when 
and 
.
?
a = 30; b = 3
?
A. 4 ft/sec
B. 
ft/sec
C. 
ft/sec
D. 3 ft/sec
E. 
ft/sec
Answer: B
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