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A school has three workers: Aku, Brako, and Dagadu, with monthly incomes of GH¢ 5,000.00, GH¢ 6,500.00, and GH¢ 4,200.00 respectively. Calculate their yearly incomes, the difference between Aku's and

Mathematics

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4. (a) In a school, the monthly income of three workers Aku, Brako and Dagadu are GH¢ 5,000.00, GH¢ 6,500.00 and GH¢ 4,200.00 respectively.

  • (i) Calculate the yearly income of each worker.
  1. Calculate Aku's yearly income.

    $$
    \text{Aku's yearly income} = \text{GH¢ } 5,000.00 \times 12 = \text{GH¢ } 60,000.00
    $$
    
  2. Calculate Brako's yearly income.

    $$
    \text{Brako's yearly income} = \text{GH¢ } 6,500.00 \times 12 = \text{GH¢ } 78,000.00
    $$
    
  3. Calculate Dagadu's yearly income.

    $$
    \text{Dagadu's yearly income} = \text{GH¢ } 4,200.00 \times 12 = \text{GH¢ } 50,400.00
    $$
    *   **Aku: $\boxed{\text{GH¢ } 60,000.00}$**
    *   **Brako: $\boxed{\text{GH¢ } 78,000.00}$**
    *   **Dagadu: $\boxed{\text{GH¢ } 50,400.00}$**
    
    • (ii) Find the yearly income difference between Aku and Dagadu.
  4. Subtract Dagadu's yearly income from Aku's yearly income.

    $$
    \text{Difference} = \text{GH¢ } 60,000.00 - \text{GH¢ } 50,400.00 = \text{GH¢ } 9,600.00
    $$
    *   **Difference: $\boxed{\text{GH¢ } 9,600.00}$**
    
    • (iii) Find the total yearly income of all the three workers.
  5. Add the yearly incomes of Aku, Brako, and Dagadu.

    $$
    \text{Total income} = \text{GH¢ } 60,000.00 + \text{GH¢ } 78,000.00 + \text{GH¢ } 50,400.00 = \text{GH¢ } 188,400.00
    $$
    *   **Total income: $\boxed{\text{GH¢ } 188,400.00}$**
    

    4. (b) A painter places a ladder against a building at the window. The angle the foot of the ladder makes with the horizontal ground is 60∘60^\circ. If the distance from the foot of the ladder to the base of the building is 5 m.

    • (i) Illustrate the information in a diagram;
  6. Draw a right-angled triangle representing the building, the ground, and the ladder.

    The building forms the vertical side, the ground forms the horizontal side, and the ladder is the hypotenuse.  
    Let $L$ be the length of the ladder, $
    
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