(Q14) An electrician wants to repair an electric connection on a pole of height 9 m. He needs to reach 1.8 m below the top of the pole to do repair work. What should be the length of the ladder which he should use, when he climbs it at an angle of 60^o with the ground? What will be the distance between foot of the ladder and foot of the pole?

Solution :

Height of the pole = 9m

Height of the point from the ground where he reaches the pole = 9 - 1.8 = 7.2 m

Angle of elevation = 60^o

Angle of depression = Angle of elevation at the ground = 60^o

Let the distance of the target from the shooting point = x m

x = √3

Also tan° =

d

d =

√

=

× 3

√

= √3

∴ d = √3