question_answer

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

A) 40 m

B) 45 m

C) 50 m

D) 42 m

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.