A pole that is 3.2 m tall casts a shadow that is 1.29 m long. At the same time, a nearby tower casts a shadow that is 39.25 m lo
ng. How tall is the tower? Round your answer to the nearest meter
1 answer:
Answer: 97 meters
Step-by-step explanation:
Draw 2 right triangles KLM and ABC.
ML=3.2 m ( is a pole) KL =1.29 m( pole's shadow).
(The triangle KLM is right because we suppose that pole is staying vertically).
In triangle AB is tower's shadow= 39.25 m and BC is the height og tower=x meters?
Triangles KLM and ABC are similar .
So ML/KL=x/AB
3.2/1.29=x/39.25
x=3.2*39.25/1.29= approx 97.36 meters= 97 meters
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