Question

25-A ladder 8 m high reaches a point 8 m away from the top of a vertical flag staff. At the foot of the ladder the elevation of the top of the flag staff is 60°. Find the height of the flag staff.​

Answer 1

Answer:

Correct option is C)

CD=AD=9m

∵△ACD is isosceles.

∠CAB=60°

∴∠ACB=∠CAD=30°

∴∠BAD=30°

In △ABD,

sin30°=

AD

BD

⇒BD=ADsin30°=4.5

Therefore,

BC=BC+DC=4.5+9=13.5m