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Solution


Q.

Vijay is trying to estimate the height of a tower near his house using the properties of similar triangles. His house, which is 20 m tall, casts a 10 m long shadow on the ground.

At the same time, the tower casts a 50 m long shadow on the ground, and Ajay’s house casts a 20 m long shadow on the ground.

 

Based on the above information, answer the following questions:

 

(iii) (b) When the tower casts a 40 m long shadow, what will be the length of the shadow cast by Ajay’s house at the same time
1 13 m   
2 14 m  
3 11 m  
4 16 m  

Ans.

(4)

Given, HC = 40 m.
Let length of the shadow of Ajay’s house be HF = l m.

Since:

∆HFG~∆HCDHFHC=FGCDl40=40100l=40×40100=16 m