Answer to Question #64598 in Calculus for Sanjiv

Question

1. A ladder 15 ft long rests against a vertical wall. Its top slides down the wall
while its bottom moves away along the level ground at a speed of 2 ft/s. How
fast is the angle between the top of the ladder and the wall changing when the
angle is p/3 radians?

2. A ladder 12 meters long leans against a wall. The foot of the ladder is pulled
away from the wall at the rate 12 m/min. At what rate is the top of the ladder
falling when the foot of the ladder is 4 meters from the wall?

3. A rocket R is launched vertically and its tracked from a radar station S which
is 4 miles away from the launch site at the same height above sea level.
At a certain instant after launch, R is 5 miles away from S and the distance
from R to S is increasing at a rate of 3600 miles per hour. Compute the
vertical speed v of the rocket at this instant.