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A 5 ft-tall person stands on level ground at a point ft from the base of a 20 ft…
MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles
Problem
A 5 ft-tall person stands on level ground at a point
x
x
x
ft from the base of a 20 ft streetlamp and casts a shadow of length
s
s
s
ft along the ground. Explain why the proportion
20
x
+
s
=
5
s
\dfrac{20}{x+s}=\dfrac{5}{s}
x
+
s
20
=
s
5
is valid in this situation.
Related theory
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Similarity
Ratio and Proportion
Triangle similarity conditions
Triangles
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