3. Measure the straight-line distance between Bhisho and Gqeberha. a. How many centimetres is this distance on the map? b. Convert the map distance to distance on the ground. c. What is the direct distance on the ground between Khaya Mnandi and Port St Johns: \( 50 \mathrm{~km}, 10 \mathrm{~cm}, 500 \mathrm{~km} \) or 650 km ?

To solve the problem, we need to extract the known conditions and then proceed step by step. ### Known Conditions: 1. We need to measure the straight-line distance between Bhisho and Gqeberha on a map. 2. We need to convert this map distance to the actual distance on the ground. 3. We need to determine the direct distance on the ground between Khaya Mnandi and Port St Johns from the options provided: \( 50 \mathrm{~km}, 10 \mathrm{~cm}, 500 \mathrm{~km} \) or \( 650 \mathrm{~km} \). ### Step-by-Step Solution: #### a. How many centimetres is this distance on the map? To answer this question, we need the scale of the map (which is not provided). The scale typically indicates how many kilometers are represented by a certain number of centimeters on the map. For example, if the scale is 1 cm = 10 km, and the distance between Bhisho and Gqeberha is known to be 100 km, then the distance on the map would be: \[ \text{Map Distance (cm)} = \frac{\text{Ground Distance (km)}}{\text{Scale (km/cm)}} \] Without the scale, we cannot calculate the map distance. #### b. Convert the map distance to distance on the ground. Again, we need the map distance from part (a) and the scale of the map to convert the distance. The formula remains the same: \[ \text{Ground Distance (km)} = \text{Map Distance (cm)} \times \text{Scale (km/cm)} \] #### c. What is the direct distance on the ground between Khaya Mnandi and Port St Johns? We have the options: \( 50 \mathrm{~km}, 10 \mathrm{~cm}, 500 \mathrm{~km} \) or \( 650 \mathrm{~km} \). To determine the correct answer, we need to know the actual distance between Khaya Mnandi and Port St Johns. If we assume that the distance is known or can be looked up, we can compare it to the options provided. ### Conclusion: - For parts (a) and (b), we need the scale of the map and the actual distance between Bhisho and Gqeberha to provide a numerical answer. - For part (c), we need to know the actual distance between Khaya Mnandi and Port St Johns to select the correct option. If you can provide the scale of the map or the actual distance between Bhisho and Gqeberha, I can help you with the calculations.