A tower casts a shadow 48 m long. Tom is 2 meters tall and casts a shadow 8 meters long while standing in the tower's shadow. How tall is the tower?
2007-06-05 04:43:43 · 5 answers · asked by meee :] 1 in Arts & Humanities ➔ History
Let theta be the angle of the ray of light incident upon the tower and Tom.
Given:
1. Tom's height: 2m
2. Tom's shadow length: 8m
3. Tower's shadow length: 48m
Let the height of the tower be: h
From (1) and (2) we get,
tan(theta) = 2/8 = 1/4 ---- (4)
Since the angle of the ray of light is same,
tan(theta) = h/48 ---- (5)
clearly (4) = (5) => h/48 = 1/4 => h = 12m
Therefore height of the tower = h = 12m.
2007-06-06 05:26:04 · answer #1 · answered by ping_anand 3 · 0⤊ 0⤋
I would like to see Tom cast a shadow while standing in the tower's shadow. Now if he was standing next to the tower's shadow and he cast a shadow 8 meters long, it would be 4 times his height. That would mean that the towers shadow would also be 4 times its height. So he could figure the height of the tower.
2007-06-05 05:16:30 · answer #2 · answered by mr.perfesser 5 · 0⤊ 0⤋
What in the world does this have to do with history? You are in the wrong category. Try using the correct one and leave this one to history buffs.
Chow!!
2007-06-05 05:50:50 · answer #3 · answered by No one 7 · 0⤊ 1⤋
Which category does this question belong in? Not History.
2007-06-05 05:13:42 · answer #4 · answered by WMD 7 · 0⤊ 0⤋
Do your own homework.
2007-06-05 04:52:01 · answer #5 · answered by Shelby 2 · 0⤊ 0⤋