Question

a man whose height is 1.8m is walking directly away from a lamp fast at contrite of 1.2m/s. if the lamp s 12m above the ground, find the rate of which shadow is lengthening

Answer 1

this is about time rates on differential calculus

Answer 2

have you tried drawing a picture yet

Answer 3

not yet :(

Answer 4

draw a picture, then figure out the equation where input is distance away from the lamp and out put is length of the shadow

Answer 5

then find the derivative in respect to t

Answer 6

dx/dt would be velocity which would be 1.2

and ds/dt would be rate the shadow increases over time