camili is 5 feet tall. she placed a mirror on the ground 6 feet from a lamppost. she moved back 3 feet to see the top of the post what is the hieght of the lamppost

Guest Nov 13, 2015

#1**+5 **

I believe this has something to do with the angle of incidence and reflection.

The angle of elevation formed by her line of sight and her distance from the mirror is given by :

atan [5 / 3] = about 59.04°

And this would be the same angle of elevation formed by the distance the mirror is from the top of the post and its distance to the post....so we have......

tan (59.04) = h / 6 where h is the post height

[5/3] = h / 6 cross-multipy

5 * 6 / 3 = h = 30/ 3 = 10 ft tall

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I'd like to have someone else look at this one......I might be out in left field, here....!!!!!

CPhill
Nov 13, 2015