An electrician has to repair an electric fault on a pole of height 5 m. She needs to reach a point 1.3 m below the top of the pole to undertake the repair work. What should be the length of the ladder that she should use which, when inclined at an angle of 60° to the horizontal, would enable her to reach the required position? Also, how far from the foot of the pole should she place the foot of the ladder? (You may take `sqrt 3` = 1.73)

Explanation

To solve the problem step by step, we will use trigonometric ratios in right-angled triangles.

### Step 1: Determine the height at which the electrician needs to work
The height of the pole is given as 5 m, and she needs to reach a point 1.3 m below the top of the pole.

\[ \text{Height to reach} = 5 \, \text{m} - 1.3 \, \text{m} = 3.7 \, \text{m} \]
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