Question

A man observed the top point of a flag staff with an angle of elevation of 45° standing at a distance away from the bottom of the staff . Find the distance between the man and the staff, if the height of the staff is 50 m.

A) 50 m 

B) 60 m 

C) 30 m 

D) 22.5 m

Answer 1

Correct option is: A) 50 m

Given that angle of elevation is \(\angle\)A = \(45^\circ\) 

Height of the staff is BC = 50 m.

In right \(\triangle\)ABC,

tan A = \(\frac {BC}{AB}\)

= \(\frac {BC}{AB}\) = tan \(45^\circ\) = 1 (\(\because\)  \(\angle\)A = \(45^\circ\) )

= Ab = BC = 50 m

Hence, the distance between the man and the staff is AB = 50 m

Answer 2

Correct option is: A) 50 m