4. A5 m long ladder when set against the wall of a house reaches to a height of 4.8 m. How far is the foot
of the ladder from the wall?
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Answer:
\begin{gathered}{h}^{2} = {b}^{2} + {p}^{2} \\ {b}^{2} = {h}^{2} - {p}^{2} \\ = {5}^{2} - {4.8}^{2} \\ = 25 - 23.04 \\ = 1.96 \\ b = \sqrt{1.96} \\ = 1.4m\end{gathered}
h
2
=b
2
+p
2
b
2
=h
2
−p
2
=5
2
−4.8
2
=25−23.04
=1.96
b=
1.96
=1.4m
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