SOLUTION: A 6-ft vertical post casts a 12-in shadow at the same time a nearby cell phone tower casts a 116-ft shadow. How tall is the cell phone tower?
Question 1151471: A 6-ft vertical post casts a 12-in shadow at the same time a nearby cell phone tower casts a 116-ft shadow. How tall is the cell phone tower? Answer by jim_thompson5910(35256) (Show Source):
Let
A = height of post = 6 ft
B = length of post's shadow = 1 ft
C = height of cell phone tower = unknown
D = length of cell phone tower's shadow = 116 ft
The right triangles formed by the sun's rays are similar triangles, so we can set up the proportion below, plug in the given values, and solve for C.
A/B = C/D
6/1 = C/116
6*116 = 1*C .... cross multiply
696 = C
C = 696
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