CALCULUS RELATED RATES: A 20 foot ladder is leaning against a wall. The base of the ladder is placed 6 feet from the bottom of t
he wall. The base of the ladder slips away from the wall at a constant rate of 2 feet/sec. Find the velocity of the top of the ladder as it slider down the wall 3 seconds after it begins to fall.
1 answer:
Answer:
2.17ft/s
Step-by-step explanation:
Look at the sketch of ladder at the beginning and after 3 seconds it starts to fall,
Distance of ladder from the wall 3 seconds after ladder starts to fall = Initial distance+ Velocity× time
= 6 + 2×3
= 12ft
Use trignometry to find out the speed of the top of ladder
cosθ= 12/20
θ= 0.825 rad
tan θ= v/2
v= 2.17ft/s
You might be interested in