Trigonometric Equations Question 155

Question: Two vertical poles of equal heights are 120 m apart. On the line joining their bottoms, A and B are two points. Angle of elevation of the top of one pole from A is 45o and that of the other pole from B is also 45o. If AB = 30 m, then the height of each pole is

Options:

A) 40 m

B) 45 m

C) 50 m

D) 42 m

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ \tan 45^{o}=1=\frac{h}{{{{{T}’}}_2}A}\Rightarrow {{{T}’}_2}A=h $ Hence $ 120=h+30+h\Rightarrow h=45 $ m.