A vertical pole 6 m tall casts a shadow 4 m long at the same time a tower casts a shadow 28 m long. The height of the tower is
A42 m
B18 m
C24 m
D36 m
Answer & Solution
Correct answer: A. 42 m
1. Similar triangles share equal ratios: pole/shadow = tower/shadow.
2. 6/4 = h/28.
3. Cross-multiply: h = 6 × 28 / 4 = 42 m.
_Source: syllabus Mathematics, Ch 6 "Triangles", §6.4_
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