A girl looks the reflection of the top of the lamp post on the mirror which is 6.6 m away from the foot of the lamppost. The girl whose height is 1.25 m is standing 2.5 m away from the mirror. Assuming the mirror is placed on the ground facing the sky and the girl, mirror and the lamppost are in a same line, find the height of the lamp post.
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Answer:
lamp post.
Solution :
In triangles ABD and CED
<ABD = <ECD
<ADB = <EDC
By AA the above triangles are similar,
AB/ EC = BD/CD
x/1.25 = 6.6/2.5
x = 6.6(1.25)/2.5
x = 3.3 m
Hence the height of the lamp post is 3.3 m. is correct answer
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