4. Example problems IV

From a point \(P\) on the ground the angle of elevation of the top of a \(10 m\) tall building is \(30^°\). A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from \(P\) is \(45^°\). Find the length of the flagstaff and the distance of the building from the point \(P\). (You may take \(\sqrt{3} = 1.732\))

 

Length of the flagstaff \(=\) \(m\).