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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:

 

(i) What is the height of the tower
1 100 m  
2 150 m  
3 120 m  
4 140 m  

Ans.

(1)

The figure can be drawn as Fig. 6.35.

Let CD = h m be the height of the tower, BE = 20 m be the height of Vijay’s house, and GF be the height of Ajay’s house.

Since, ∆ACD~∆ABEACAB=CDEB5010=h20h=100 m