This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Determine the position of the minute hand. At 4:00 p.m., the minute hand points directly at the 12. We can consider this position as 0^. Step 2: Determine the position of the hour hand. At 4:00 p.m., the hour hand points directly at the 4. A clock face has 12 hours, and a full circle is 360^. Therefore, each hour mark represents an angle of (360^)/(12) = 30^. The angle of the hour hand from the 12 o'clock position (clockwise) is: Angle of hour hand = 4 × 30^ = 120^ Step 3: Calculate the angle between the hands. The angle between the hour hand and the minute hand is the absolute difference between their positions. Angle = | Angle of hour hand - Angle of minute hand | Angle = | 120^ - 0^ | Angle = 120^ This is the interior angle, as it is less than 180^. The interior angle formed between the hour hand and the minute hand at 4:00 p.m. is 120^. Send me the next one 📸