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Solution


Q.

The law of reflection states that when a ray of light reflects off a surface, the angle of incidence is equal to the angle of reflection.

Ramesh places a mirror on level ground to determine the height of a pole. He stands at a certain distance so that he can see the top of the pole reflected in the mirror. Ramesh’s eye level is 1.5 m above the ground. The distances from the mirror to Ramesh and from the mirror to the pole are 1.8 m and 6 m, respectively.

Based on the above information, answer the following questions:

 

(i) Which criterion of similarity is applicable to the formed triangles
1 AA  
2 AB  
3 BC  
4 BD  

Ans.

(1)

From the Fig. 6.109,

∠ABM=∠CDM and∠AMB=∠CMD∴ΔABM~ΔCDM(By AA similarity)

Thus, AA similarity criterion is applicable to the triangles