Question

The angle between the two hands of a clock at 1 : 10 is​

Answer 1

Answer:

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Answer 2

Given,

The time at which the angle between two hands must be calculated = 1:10

To Find,

The angle between the two hands of a clock at 1:10.

Solution,

A clock has twelve equal divisions.

Since for completion of a rotation, it takes 360°,

Value of each division = $\frac{360}{12}$

⇒$30$

Thus the value for each division is 30°.

For every 360° rotation of the minute hand, the hour hand rotates for 30°.

For 10 minutes, the rotation of minutes hand is 60°.

Thus the rotation of the hour hand can be calculated as follows:

$360$ → $30$

$60$ → $?$

⇒$\frac{(60)(30)}{360}$

⇒$5$

Thus the hour hand rotates 5° while the minute hand rotates 60°, that is 10minutes.

So the angle between the hour hand and the minute hand at 1:10 = $30-5$(since each division = 30°)

=25°

Henceforth, the angle between the two hands of a clock at 1:10 is 25°.