Question:
Find the length which at a distance of 5280 m will subtend an angle of 1' at the eye.
Solution:
We have:
Radius = 5280 m
Now,
$\theta=1^{\prime}=\left(\frac{1}{60}\right)^{\circ}=\left(\frac{1}{60} \times \frac{\pi}{180}\right)$ radian
We know,
$\theta=\frac{\text { Arc }}{\text { Radius }}$
$\Rightarrow \frac{1}{60} \times \frac{\pi}{180}=\frac{\text { Arc }}{5280}$
$\Rightarrow$ Arc $=\frac{5280 \times 22}{60 \times 180 \times 7}=1.5365 \mathrm{~m}$
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