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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) (a) What is the height of Ajay’s house
1 40 m  
2 20 m  
3 25 m  
4 30 m  

Ans.

(1)

Let height of Ajay’s house be GF = h₁.

Since: 

∆HFG~∆HCDHFHC=FGCD2050=h1100h1=20×10050=40 m