A boy notices two objects in a straight line due west. After walking some distance \( \mathrm{c}...

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A boy notices two objects in a straight line due west. After walking some distance \( \mathrm{c} \) due north he observes that the objects form an angle \( \alpha \) at his eye; and after walking some further distance \( 2 \mathrm{c} \) due north they form an angle \( \beta \). If height of the boy is being neglected then find the distance between the objects.
a. \( \frac{2 c}{2 \cot \beta-\cot \alpha} \)
b. \( \frac{2 c}{2 \cot \alpha-\cot \beta} \)
c. \( \frac{8 c}{4 \cot \beta+\cot \alpha} \)
d. \( \frac{8 \mathrm{c}}{3 \cot \beta-\cot \alpha} \)
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