To find: The length of man’s shadow.
The length of man’s shadow is 5 m.
The height of lamppost is 6 m and the height of man is 2 m.
The distance between the lamppost and man is 10 m.
Let the length of man’s shadow be x. For a pair of similar triangles the ratios of corresponding sides are equal.
Tabulate the given information into the language of algebra.
|In words||In Algebra|
|Length of shadow||x|
|Base of large triangle|
|Ratio of height to base in large triangle|
|Ratio of height to base in small triangle|
Model the equation for the above information.
Simplify the above equation for x,
Thus, the length of man’s shadow is 5 m.
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