Question

MY NOTES 1.5/3.5 POINTS PREVIOUS ANSWERS LARCALC9 2.6.025. A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. (a) What is the velocity of the top of the ladder when the base is given below? 15 feet away from the wall 312 ft/sec 20 feet away from the wall 813 ft/sec 24 feet away from the wall * ft/sec (b) Consider the triangle formed by the side of the house, ladder, and the ground. Find the rate at which the area of the triangle is changing when the base of the ladder is 24 feet from the wall. * ft2/sec Enter a fraction integer or exact decimal. Do not compromete (c) Find the rate at which the angle between the ladder and the wall of the house is changing when the base of the ladder is 24 feet from the wall. rad/sec

just the 3 boxes I got wrong, and just the answer.   You do have to show your work

Answer 1

\ 25ft VY swall given @ 24 feet awary from the wall let a, b be sides i affsee of right angle the l aureets a² +6² 25² derivative on bothsides wirnt "t" aa da + ab db zo a de dt . given be = aft/ see ; 6 =24 a = 1125 - 2y² = -1 put above values in o a = () 6=24 Ft - I ft/sec 16=aupt

dt Arraif Ale - lbh 24 2A = bh a da = h abbah . dt . dt ! = 2 ft/sec =(1)(a) + (24) ) da tt = . 14-14 . 2 Loso = 7/25 as → aft/sec ay