Q. A ladder 9m long reaches a point 9m below the top of a vertical fla

1.	Q. A ladder 9m long reaches a point 9m below the top of a vertical flag staff. From the foot of the ladder the elevation of the top of the flagstaff is 60degrees. Find the height of the flag staff.
Answer» Answer: FLAG Staff length = 16.785 m Step-by-step explanation: Given: Length of Ladder, CD = 9 m Lenght of staff from top to foor of ladder , AD = 9 m To FIND: Lenght of flag staff, AB In Δ BCD, Using Trignometric Ratio, $sin\,60^{\circ}=\frac{BD}{CD}$ $\frac{\sqrt{3}}{2}=\frac{BD}{9}$ $BD=\frac{9\sqrt{3}}{2}$ $BD=\frac{15.57}{2}$ ( using VALUE of √3 = 1.73 ) $BD=7.785$ ⇒ AB = AD + DB = 9 + 7.785 = 16.785 m Therefore, Flag Staff length = 16.785 m