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Providing that the ground is level and that the wall is straight, you have the outline of a right angled triangle with an adjacent angle of 73 degrees and an adjacent length of 1.17 metres. In order to find the length of the hypotenuse (which is the ladder itself) we use the cosine ratio:

cosine = adjacent/hypotenuse

Which when rearranged is:

hypotenuse = adjacent/cosine

hypotenuse = 1.17/cosine73 degrees = 4.001755235

So the length of the ladder is 4 metres correct to one significant figure.

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