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Problem 323

Geometry Difficulty 2.0 Find the answer CEMC Gauss (Grade 8) · Canada · 2000

Sam is walking in a straight line towards a lamp post which is $8$ m high. When he is $12$ m away from the lamp post, his shadow is $4$ m in length. When he is $8$ m from the lamp post, what is the length of his shadow?

(A) $1\frac{1}{2}$ m (B) $2$ m (C) $2\frac{1}{2}$ m (D) $2\frac{2}{3}$ m (E) $3$ m

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