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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:

 

(ii) What will be the length of the shadow of the tower when Vijay’s house casts a 12 m long shadow
1 50 m   
2 60 m   
3 40 m   
4 30 m   

Ans.

(2)

Given AB = 12 m, let AC = x.

In similar ΔABE and ΔACD:ABAC=BECD12x=20100x=12×10020=12×5=60 m