alleryA vertical pole 10 m long casts a shadow whose length is 10 (square root of 3) m. The angle of elevation of the sun is
A60 degrees
B45 degrees
C30 degrees
D75 degrees
Answer & Solution
Correct answer: C. 30 degrees
1. tan(theta) = pole / shadow = 10 / (10 square root of 3) = 1/(square root of 3).
2. arctan(1/(square root of 3)) = 30 degrees.
3. Hence the angle is 30 degrees.
_Source: syllabus Mathematics, Ch 9 "Some Applications of Trigonometry", §9.2_
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