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The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:

180°
275°
360°
4105°

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Angle traced by hour hand in \frac{17}{2} hrs \\ = {(\frac{360}{12} \times \frac{17}{2})}^{\circ} = 255 \\ Angle traced by min . hand in 30 min \\ = {(\frac{360}{60} \times 30)}^{\circ} = 180 \\ ∴ Required angle \\ = {(255 - 180)}^{\circ} = 75^{\circ} \end{aligned}

$\eqalign{ & {\text{Angle}}\,{\text{traced}}\,{\text{by}}\,{\text{hour}}\,{\text{hand}}\,{\text{in}}\,\frac{{17}}{2}\,{\text{hrs}} \cr & \,{\text{ = }}\,{\left( {\frac{{360}}{{12}} \times \frac{{17}}{2}} \right)^ \circ } = 255 \cr & {\text{Angle}}\,{\text{traced}}\,{\text{by}}\,{\text{min}}{\text{.}}\,{\text{hand}}\,{\text{in}}\,{\text{30}}\,{\text{min}} \cr & = {\left( {\frac{{360}}{{60}} \times 30} \right)^ \circ } = 180 \cr & \therefore {\text{Required}}\,{\text{angle}} \cr & = {\left( {255 - 180} \right)^ \circ } = {75^ \circ } \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} Angle traced by hour hand in \frac{17}{2} hrs \\ = {(\frac{360}{12} \times \frac{17}{2})}^{\circ} = 255 \\ Angle traced by min . hand in 30 min \\ = {(\frac{360}{60} \times 30)}^{\circ} = 180 \\ ∴ Required angle \\ = {(255 - 180)}^{\circ} = 75^{\circ} \end{aligned}

$\eqalign{ & {\text{Angle}}\,{\text{traced}}\,{\text{by}}\,{\text{hour}}\,{\text{hand}}\,{\text{in}}\,\frac{{17}}{2}\,{\text{hrs}} \cr & \,{\text{ = }}\,{\left( {\frac{{360}}{{12}} \times \frac{{17}}{2}} \right)^ \circ } = 255 \cr & {\text{Angle}}\,{\text{traced}}\,{\text{by}}\,{\text{min}}{\text{.}}\,{\text{hand}}\,{\text{in}}\,{\text{30}}\,{\text{min}} \cr & = {\left( {\frac{{360}}{{60}} \times 30} \right)^ \circ } = 180 \cr & \therefore {\text{Required}}\,{\text{angle}} \cr & = {\left( {255 - 180} \right)^ \circ } = {75^ \circ } \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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