Question

2. A 15 foot ladder is resting against a wall. The bottom is initially 10 feet away from the wall and is being pushed towards the wall at a rate of 1/4 feet per second. How fast is the top of the ladder moving up the wall 12 seconds after we start pushing?

Answer 1

Athogy 2522 15A wall Je to t . K loft according to the property of Right Angle triangle 12²= 2² + y2) Where's height of boddex =2=15 (congtent) * → botteng lodder aucy from Wall I height of wall those top of latches is stoying

Z2s.x²+42 diferentiat witi do P af fag (22) = 2 ( x 2) + (an) os eredeti + 39 o o ! a du = - they It ne see and pigesine signe Represent the dierooking of De 2:15 after second i s a became so 20 - (1284) = 10-3 = 2 * *

.224.22442 (5) = (a)?#y2 y2= 225-49 s 176 [3 Viro] then Hence Lodder Slide up bey speed of Z 176 fol . / Eccona 20:1319 fe . Secouer