What is the angle between the hour hand and the minute hand of a clock at 3:15?

Correct option is A

To find the angle between the hour and minute hands at 

$3:15$, we use the following steps:

Step 1: Formula for the angle between the hands

$$\text{Angle}=|(30\times \text{hour})-(11/2\times \text{minutes})|$$

Step 2: Substituting the values

• At 3:15:
  • Hour = 3
  • Minutes = 15

Substitute into the formula:

$$\text{Angle}=|(30\times 3)-(11/2\times 15)|$$

Step 3: Simplify the calculation

• $30\times 3=90$
• $11/2\times 15=82.5$

Angle=∣90−82.5∣=7.5∘\text{Angle} = |90 - 82.5| = 7.5^\circAngle=∣90−82.5∣=7.5∘

Step 4: Correct Answer

Correct Option: (a) 7.5°