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In the ladder problem shown in Fig. 9.5, how far from the foot of the pole should the foot of the ladder be placed? 
A$1.73\mathrm{m}$
B$2.14\mathrm{m}$
C$3.70\mathrm{m}$
D$4.28\mathrm{m}$
Answer & Solution
Correct answer: B. $2.14\mathrm{m}$
The vertical height to be reached is $3.7\mathrm{m}$. Let the horizontal distance be $x$. Using $\cot 60^{\circ}=\frac{x}{3.7}=\frac{1}{\sqrt{3}}$, we get $x=\frac{3.7}{\sqrt{3}}\approx 2.14\mathrm{m}$.
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