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.
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Here are the solutions to the problems: 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. Step 1: Calculate Aku's yearly income. Aku's yearly income = GH¢ 5,000.00 × 12 = GH¢ 60,000.00 Step 2: Calculate Brako's yearly income. Brako's yearly income = GH¢ 6,500.00 × 12 = GH¢ 78,000.00 Step 3: Calculate Dagadu's yearly income. Dagadu's yearly income = GH¢ 4,200.00 × 12 = GH¢ 50,400.00 Aku: GH¢ 60,000.00 Brako: GH¢ 78,000.00 Dagadu: GH¢ 50,400.00 (ii) Find the yearly income difference between Aku and Dagadu. Step 1: Subtract Dagadu's yearly income from Aku's yearly income. Difference = GH¢ 60,000.00 - GH¢ 50,400.00 = GH¢ 9,600.00 Difference: GH¢ 9,600.00 (iii) Find the total yearly income of all the three workers. Step 1: Add the yearly incomes of Aku, Brako, and Dagadu. Total income = GH¢ 60,000.00 + GH¢ 78,000.00 + GH¢ 50,400.00 = GH¢ 188,400.00 Total income: 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^. 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; Step 1: 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, $