waecmaths question:
The foot of a ladder is 6m from the base of an electric pole. The top of the ladder rest against the pole at a point 8 m above the ground. How long is the ladder
Option A:
14 m
Option B:
12 m
Option C:
10 m
Option D:
7 m
waecmaths solution:
$\text{Using pythagoras theorem}$
${{l}^{2}}={{(6m)}^{2}}+{{(8m)}^{2}}$
${{l}^{2}}=36{{m}^{3}}+64{{m}^{2}}$
$l=\sqrt{100{{m}^{2}}}$
$l=10m$
$\text{The length of the ladder is 10m}$
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