Questions: Escolha a figura em que os ponteiros do relógio fazem um ângulo de medida de 150°.

Transcript text: Escolha a figura em que os ponteiros do relógio fazem um ângulo de medida de $150^{\circ}$.

Solution

Solution Steps

Step 1: Understand the Problem

The problem asks to choose the clock figure where the hands form an angle of 150°.

Step 2: Calculate the Angle Between Clock Hands

The angle between the hour and minute hands of a clock can be calculated using the formula: \[ \text{Angle} = \left| 30H - 5.5M \right| \] where $ H $ is the hour and $ M $ is the minute.

Step 3: Analyze Each Option

Option A: 3:00 \[ \text{Angle} = \left| 30 \times 3 - 5.5 \times 0 \right| = 90° \]
Option B: 4:00 \[ \text{Angle} = \left| 30 \times 4 - 5.5 \times 0 \right| = 120° \]
Option C: 5:00 \[ \text{Angle} = \left| 30 \times 5 - 5.5 \times 0 \right| = 150° \]
Option D: 6:00 \[ \text{Angle} = \left| 30 \times 6 - 5.5 \times 0 \right| = 180° \]