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Angle and its Measurement — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsAngle and its Measurement2 Marks
Question
Express the following angles in degrees, minutes and seconds : $\left(\frac{1}{5}\right)^c$
✓

Answer

We know that $\theta^c=\left(\theta \times \frac{180}{\pi}\right)^{\circ}$
$\therefore \quad\left(\frac{1}{5}\right)^{ c }=\left(\frac{1}{5} \times \frac{180}{\pi}\right)^{\circ} $
$=\left(\frac{36}{\pi}\right)^{\circ}$
$=\left(\frac{36}{3.14}\right)^{\circ} \quad \ldots[\because \pi=3.14] $
$=(11.46)^{\circ}$
$=11^{\circ}+(0.46)^{\circ} $
$=11^{\circ}+(0.46 \times 60){\prime} $
$=11^{\circ}+(27.6)^{\prime} $
$=11^{\circ}+27^{\prime}+(0.6)^{\prime}$
$=11^{\circ}+27^{\prime}+(0.6 \times 60)^{\prime \prime}$
$=11^{\circ} 27^{\prime}+36^{\prime \prime}$
$=11^{\circ} 27^{\prime} 36^{\prime \prime} \text { (approx.) } $

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