A ladder 20 meters long reaches the distance of 20 meters from the top of a building. At the foot of the ladder , the measurement of the angle of elevation at the top of the building is 60°.Find the height of the building.
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PB = ladder = BC = 20 given.
Also CPA = 60°
ZBCP= BPC = 30°
as ABC is isosceles.
ZACP = 30°
ZBPA = 60° -30°= 30°
20-2 . AB = 30 sin 30° = 20.
= 10
Hence the height of flag staff = AB + BC = 10 + 20 = 30 ft.
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