9. Find the height of the flag post

A girl observes the top of the flag post at an angle of 45\(^{\circ}\) from the hot air balloon, which is at a height of 174 \(m\) above the ground. If the distance between the flag post and the line drawn beneath the balloon is 29 \(m\), then find the height of the flag post. (Use \(\sqrt{3} = 1.732\))

 

Answer:

 

The height of the flag post is  \(m\).

 

(Note: If the answer is a whole number, write as it is. If not, round off to \(3\) decimal places.)