A boy 1.5 m tall stands 8.5 m from a lamp post. His shadow is 4.5 m long. The height of the lamp post is

A3.83 m

B4.5 m

C4.33 m

D5 m

Answer & Solution

Correct answer: C. 4.33 m

1. Similar triangles: lamp/(boy distance + shadow) = boy/shadow. 2. lamp/(8.5 + 4.5) = 1.5/4.5. 3. lamp = 13 × 1.5 / 4.5 = 19.5 / 4.5 ≈ 4.33 m. _Source: syllabus Mathematics, Ch 9 "Some Applications of Trigonometry", §9.2_

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