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 $=$ $m$.