SOLUTION: A pole that is 2.6m tall casts a shadow that is 1.22m long. At the same time, a nearby tower casts a shadow that is 37.25m long. How tall is the tower? Round your answer to the nea

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A pole that is 2.6m tall casts a shadow that is 1.22m long. At the same time, a nearby tower casts a shadow that is 37.25m long. How tall is the tower? Round your answer to the nea      Log On


   



Question 753114: A pole that is 2.6m tall casts a shadow that is 1.22m long. At the same time, a nearby tower casts a shadow that is 37.25m long. How tall is the tower? Round your answer to the nearest meter.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A pole that is 2.6m tall casts a shadow that is 1.22m long.
At the same time, a nearby tower casts a shadow that is 37.25m long.
How tall is the tower? Round your answer to the nearest meter.
:
The relationship of shadow to the vertical object is the same for both
let t = ht of the tower
t%2F37.25 = 2.6%2F1.22
Cross multiply
1.22t = 37.25 * 2.6
t = 96.85/1.22
t ~ 79 meters