Question
Download Solution PDFA man looks at the reflection of the top of the lamp-post on the mirror that is 6.6 m away from the foot of the lamppost. The man's height is 1.25 m and he is standing 2 m away from the mirror. Assuming that the mirror is placed on the ground, facing the sky and the man, and that the mirror and the lamp-post are in a same line, find the height of the lamp-post (in metres).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Distance from the mirror to the foot of the lamppost = 6.6 m
Man's height = 1.25 m
Distance from the man to the mirror = 2 m
Formula Used:
Using similar triangles:
Height of lamppost / Distance from lamppost to mirror = Man's height / Distance from man to mirror
Calculation:
Let the height of the lamppost be h meters.
Using the similar triangles property:
\(\frac{h}{6.6} = \frac{1.25}{2}\)
⇒ h = 6.6 ×
⇒ h = 6.6 × 0.625
⇒ h = 4.125 meters
Since the closest option is 4.13, we round off to 4.13 meters.
The height of the lamppost is 4.13 meters.
Last updated on May 28, 2025
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