The angle of depression of a point situated at a distance 100 m from the base of a pole is 30°. Find height of the pole is-
Answer & explanation
Correct answer: option 3
AB is a pole.
tan θ = \(\frac{Perp.}{Base}\)
tan 30° = \(\frac{AB}{BC}\)
\(\frac{1}{\sqrt{3}}\) = \(\frac{AB}{100}\)
AB = \(\frac{100}{\sqrt{3}}\) = \(\frac{100}{3}\)\(\sqrt{3}\) m