Answer :

Let AB be the pole and D be the 1m below A. The person needs to reach the point D. So, BD = 3m. Let DC be the ladder. Join D and C. We get a right-angled triangle ∆DBC, right angled at B. The angle of elevation of the ladder, ∠BCD = 60°. We use trigonometric ratio sin, using DC as hypotenuse and DB as height to find the length of the ladder DC.

In ∆BDC,

or,

Hence, the length of the ladder will be 3.46m.

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