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Hi please can you help with this and show working out and understanding (b) Finn looks at a map of 4G mobile towers in his

Hi please can you help with this and show working out and understanding

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(b) Finn looks at a map of 4G mobile towers in his area. There is one at Hollingworth Hill and another at Cleggswood Hill. The top of these towers have heights of 218 m and 264 m respectively. Let point A be the top of the tower at Hollingworth Hill, point B be the point vertically beneath Cleggswood tower and on a level with the point A and let point C be the top of the tower at Cleggswood Hill. A measurement of 4 em on the map represents 1 km on the ground. (i) The horizontal distance between the two locations on the map is 3.5 cm. What is the actual horizontal distance between the masts (the length AB)? [1] (if) What is the reduction scale factor? Give your answer in standard form. [1] (iii) What is the actual distance between the tops of the two towers, the length AC? [2] (iv) Calculate ZCAB, the angle which is the line of sight from the top of the mast at Hollingworth Hill to the top of the mast at Cleggswood Hill? [2] Vc) A third tower is located at Heights Barn Hill. Let DEF represent the points on the map for Cleggswood Hill, Hollingworth Hill and Heights Barn Hill respectively. On the map, DE = 3.5 cm and EF = 5.5 cm and DEF = 105. V(i) Is ZDEF on the map greater than, less than, or the same as the angle between the horizontal line between Cleggswood Hill and Hollingworth Hill and the horizontal line between Hollingworth Hill and Heights Barn Hill in real life? Explain your answer. [1] Vii) Find the length DF. (iii) Find the ZEFD. iv) Find the area of triangle DEF. [3]

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