Throughout this question, take care to explain your reasoning carefully. You should round your answers, where necessary, to two significant figures. 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. (a) Calculate what area is within the range of a 4G mobile tower where there are no obstructions. (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?

Throughout this question, take care to explain your reasoning carefully. You should round your answers, where necessary, to two significant figures. 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. (a) Calculate what area is within the range of a 4G mobile tower where there are no obstructions. (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?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.CR: Review Exercises

Problem 40CR: Sue and Daves semicircular driveway is to be resealed, and then flowers are to be planted on either...

See similar textbooks

Similar questions

Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot?
Which type of path straight, curved, circular, or scattered is determined by: a a roller coaster? b a pencil? c a carousel? d darts thrown at a dartboard?
Find the actual distance from Portland to Boise.
If two ships are 30 nautical miles apart on the ocean, how many statute miles apart are they? (Use the result of Problem 25 to do (he calculations.)
Which type of path straight, curved, circular or scattered is determined by: a pepper sprinkled on a steak? b a Ferris wheel? c a rule? d the path of a snake?
Randy wants to attach a 17-foot string of lights to the top of the 15 foot mast of his sailboat, as shown in the figure. How far from the base of the mast should he attach the end of the light string?
John puts the base of a 13-foot ladder five feet from the wall of his house as shown below. How far up the wall does the ladder reach?
Use your compass and straightedge to bisect EF.
Sue and Daves semicircular driveway is to be resealed, and then flowers are to be planted on either side. Give approximate answers. aWhat is the number of square feet to be resealed? bIf Dave can reseal the driveway at a cost of 0.45 per square feet, what is the cost of resealing the driveway? cIf individual flowers are to be planted 1 foot from the edge of the driveway at intervals of approximately 1 foot on both sides of the driveway, how many flowers are needed?
Show that there is no triangle for which a=4 feet, b=14 feet, and A=60.