(b) Finn looks at a map of 4G mobile towers in his area. There is one at Stormer Hill and another at Blackstone Edge. The top of these towers have heights of 251 m and 473 m respectively. Let point A be the top of the tower at Stormer Hill, point B be the point vertically beneath Blackstone Edge tower and on a level with the point A and let point C be the top of the tower at Blackstone Edge. A measurement of 4 cm on the map represents 1 km on the ground. (i) The horizontal distance between the two locations on the map is 6.5 cm. What is the actual horizontal distance between the masts (the length AB)? What is the reduction scale factor? Give your answer in standard form. (iii) What is the actual distance between the tops of the two towers, the length AC?

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Finn is looking into the position and range of 4G mobile towers in his local
area. Finn learns that the range of the 4G mobile towers is 50 km, where
there are no obstructions.
of the mobile
(b) Finn looks at a map of 4G mobile towers in his area. There is one at
Stormer Hill and another at Blackstone Edge. The top of these towers
have heights of 251 m and 473 m respectively. Let point A be the top of
the tower at Stormer Hill, point B be the point vertically beneath
Blackstone Edge tower and on a level with the point A and let point C
be the top of the tower at Blackstone Edge. A measurement of 4 cm on
the map represents 1 km on the ground.
(i)
The horizontal distance between the two locations on the map is
6.5 cm. What is the actual horizontal distance between the masts
(the length AB)?
What is the reduction scale factor? Give your answer in standard
form.
(iii) What is the actual distance between the tops of the two towers, the
length AC?
Transcribed Image Text:Finn is looking into the position and range of 4G mobile towers in his local area. Finn learns that the range of the 4G mobile towers is 50 km, where there are no obstructions. of the mobile (b) Finn looks at a map of 4G mobile towers in his area. There is one at Stormer Hill and another at Blackstone Edge. The top of these towers have heights of 251 m and 473 m respectively. Let point A be the top of the tower at Stormer Hill, point B be the point vertically beneath Blackstone Edge tower and on a level with the point A and let point C be the top of the tower at Blackstone Edge. A measurement of 4 cm on the map represents 1 km on the ground. (i) The horizontal distance between the two locations on the map is 6.5 cm. What is the actual horizontal distance between the masts (the length AB)? What is the reduction scale factor? Give your answer in standard form. (iii) What is the actual distance between the tops of the two towers, the length AC?
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