Shadow Man

Algebra Level 2

5 14 S \frac{5}{14} S 3 7 S \frac{3}{7} S 1 2 S \frac{1}{2} S 4 7 S \frac{4}{7} S

Kumar Gupta by Kumar Gupta , 23, India

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4 solutions

Ashutosh Gupta
Mar 27, 2014

let Shadow length = A then,

6/A=20/(A+S)

so... A=3/7*S

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Sukanta Palit
Mar 27, 2014

Applying Similarity of Triangle, get result... :D

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Abhi Yadav
Mar 27, 2014

consider x is length of shadow S+x is total length of shadow end to the buiding 6x(S+x)=20x

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Jayant Mahajan
Mar 1, 2014

Let us consider the shadow length = x

The 6 feet person is standing S feet away from the building.

20/(S+x) = 6/x

By solving the above equation you get x = 3S/7

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Or let the angle between the light ans the building is Theta, and the length of shadow is x, then

tan ⁡ θ \tan\theta = X + S 20 \frac{X+S}{20} = S 14 \frac{S}{14}

Then 14(X+S) = 20S

X = 3 7 \frac{3}{7} S

Khaled Mohamed - 7 years, 3 months ago

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