Question

Find the angle between the two hands of a clock at 30 minutes past 3.

A) 65o
B) 35o
C) 25o
D) 75o

Answer 1

Answer:25

the angle between the two hands of a clock at 30 minutes past 3 means 4:30(C)

Answer 2

The angle of two hands of 30 minutes past 3 is$75^\circ$

Answer - (Option D)

Solution:

According to the question:

Given Data:

The two hands of clock at 30 minutes past 3.

To Find:

Calculate the angle

Step-by –Step Explanation:

Step 1:

The angle made between clock is 5.5 (min) - 30(hour).

Step 2:

Calculate the angle between the clocks:

Therefore,

$= 5.5 \times 30 - 30 \times 3$

Result:

=165-90

=75

Therefore the angle of two hands of 30 minutes past 3 is$75^\circ.$