JEE Mains · Maths · STD 11 - Trigonometrical equations
Two vertical poles are \(150\, m\) apart and the height of one is three times that of the other. If from the middle point of the line joining their feet, an observer finds the angles of elevation of their tops to be complementary, then the height of the shorter pole (in meters) is
- A \(20 \sqrt{3}\)
- B \(25 \sqrt{3}\)
- C \(30\)
- D \(25\)
Answer & Solution
Correct Answer
(B) \(25 \sqrt{3}\)
Step-by-step Solution
Detailed explanation
\(\tan \theta=\frac{ h }{75}=\frac{75}{3 h }\) \(\Rightarrow h ^{2}=\frac{(75)^{2}}{3}\) \(h =25 \sqrt{3} m\)
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