Question

A pole projected outwards and upwards from a window at height of 20m high on a wall making an angle of 30 degree with the wall if angle of elevation of base and tope of pole from the ground level
60 degrees, find the length of the pole

Answer 1

Answer:

23.09m

Step-by-step explanation:

let AB = 20m & length of pole be 'BP'

Tan30° = AB/AQ

1/√3 = 20/AQ => AQ = 20√3

BQ = √[ (20)^2 + (20√3)^2 ]

BQ = √1600 = 40m

from triangle BPQ

Tan30° = BP/BQ

1/√3 = BP/40

BP = 40/√3 = 23.09 m

length of pole = 23.09m