Question

A pole that is 3.1 m tall casts a shadow that is 1.59 m long. At the same time, a nearby building casts a shadow that is 50.75 m long. How tall is the building?
Round your answer to the nearest meter.

Answer 1

Answer:

92 meters high.

Step-by-step explanation:

 

This problem involves proportion.

 

Let x be the unknown, which is the height of the building.

 

 

height of pole                     =          height of the building

height of the shadow                       height of the shadow

 

3.3 m       =    x          

1.78 m           49. 75 m

 

Solve for x.

 

(3.3 m) (49.75 m)    = x

      1.78 m

 

92.2331460674 = x

 

 

Rounded to the nearest meter, the building is 92 meters high.

 

Hope that helps.