A man 6ft tall walks away from a lamp post 16 ft high at the rate...

A man 6ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast does the end of his shadow move? How fast does the shadow lengthen?

Expert Solution

Given, a man 6 foot tall walk away from a lamp post which is loft high at the rate of smiles for hour. Asked to find how fast the end of his shadow more It is labelled as [since lamp is behind the man, shodow falls aheads lobt 79 Ground 1cy - het ne be distance from Lamp to the man and y be distance of shadow from foot of man l be the distance from hole to the tip of the Shadow we can form to similar triangles camp 16 tip of Shadow Shadow el en Eu y?

from laws of similar triangles, in we can also head to the authod rah L Dit ahat z .,16. lado 67 +64 = 16 on = 164-64 160 = 10.4 we need to find how fast the end of the Shadow ü moringa veie. We need to make v lib. labore We have L3x týd we have on aloy »y: 6 Ouvri? 3 ravet . y 37 Ü 2:4+39 La

derivate both sides with respective to time 11 11 We have du 5 miles per hour s on R (s) miles per hour o leite noitate han In the end of Shadow moves at a rate of G R 8 miles for hour

milcah answered 2 years ago

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