Answer:
51.02 metres
Step-by-step explanation:
The pictorial representation of the problem is attached.
We are required to find the distance from the worker to the top of the pole, |DA| in the diagram.
In Triangle ABC
[tex]Tan 68^\circ =\frac{|AB|}{|BC|}\\Tan 68^\circ =\frac{|AB|}{31}\\|AB|=31 X Tan 68^\circ=72.73m[/tex]
In Triangle BCD
[tex]Tan 35^\circ =\frac{|BD|}{|BC|}\\Tan 35^\circ =\frac{|BD|}{31}\\|BD|=31 X Tan 35^\circ=21.71m[/tex]
The distance, |DA| =|AB|-|BD|
=72.73-21.71
=51.02 metres
The distance from the worker to the top of the pole is 51.02 metres.
