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A and B are two farms on this map - OCR - GCSE Maths - Question 4 - 2017 - Paper 1
Question 4
A and B are two farms on this map. Use the map to complete these sentences. (a) (i) The distance from A to B is ______________________________ km. (ii) The bearin... show full transcript
Worked Solution & Example Answer:A and B are two farms on this map - OCR - GCSE Maths - Question 4 - 2017 - Paper 1
Step 1
The distance from A to B is ______________________________ km.
Answer
To find the distance from A to B on the map, measure the actual distance between points A and B. From the image, the distance appears to be 6.5 cm. Using the scale provided (2 cm represents 1 km), we calculate the real distance:
ext{Distance} = rac{6.5 ext{ cm}}{2 ext{ cm/km}} = 3.25 ext{ km}.Thus, the distance from A to B is approximately 3.2 km.
Step 2
The bearing of B from A is _____________________________ °.
Answer
To determine the bearing of B from A, we measure the angle from the north line at point A to the line connecting A to B. From the image, this bearing is measured as 115° clockwise from north. Therefore, the bearing of B from A is 115°.
Step 3
C is another farm. C is 2.5km from B on a bearing of 230°.
Answer
To mark the position of farm C on the map, we start from point B. Since C is located at a bearing of 230° from B, we draw a line in that direction, measuring 2.5 km. According to the scale, 2.5 km corresponds to:
Thus, we mark a point 5 cm from B in the direction of the bearing 230°, and label it as C.