Question

What angle will be formed by the hands of a clock at 11:20?
(b) 130
(a) 120
(c) 150
(d) 140​

Answer 1

Given: 11:20

To find: What angle will be formed by the hands of a clock at 11:20.

Solution:

A clock is usually a circle and is divided into 12 equal sectors. The measure of each sector can be calculated by dividing 360 by 12.

$\frac{360}{12} = 30$

When the time is 11:20, the hour hand would be at 11 and the minute hand would be at 4. The angle between 11 and 4 includes 5 sectors. Hence, the measure of all the five sectors totally makes an angle as calculated as follows.

$30*5=150$

Therefore, the angle formed by the hands of a clock at 11:20 will be 150°.

Answer 2

Answer:

(d) 140

Step-by-step explanation:

Here the question asks about the angle made by the hands of a clock at 11:20. So, at 11:20, the hour hand will be at 11 and the minute hand at 20 making an obtuse angle. Since the minute hand traveled for 20 minutes that makes 20*6 = 120°. Now the hour hand would have covered 60*11 + 20 = 680 minutes ( 1 hour = 60 minutes, 11 hour = 60*11 minutes). The angle covered will be 680*0.5 = 340°. Therefore, the angle made by the two clock hands will be 340° - 120° = 220°. But, as we need to consider only the reflex angle made by the two clock hands, then 360° - 120° = 140°.