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Railways PYQCBT 1 2016

RRB NTPC · Question 99

An 18 feet high electric pole is located along a 6 feet tall tree at a distance of 10 feet from. What will be the length of the tree's shadow? A. 10 feet B. 7.5 feet C. 6 feet D. 5 feet

  1. A

  2. D

  3. B

  4. C

Show answer & explanation

Answer: (B) D

Explanation

A light at the top of the 18 ft pole, 10 ft away, casts the tree's shadow of length s. The pole and the tree form similar triangles with the shadow's tip: 18/(10 + s) = 6/s. So 18s = 60 + 6s, 12s = 60 and s = 5 feet.