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lyudmila [28]
3 years ago
12

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
Mathematics
1 answer:
Debora [2.8K]3 years ago
4 0

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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