A farmer owns a field in the shape of a triangle ABC such that AB = 650m, AC= 1005m and BC = 1225 m. diagram not to scale A 1005 650 1225 Find the size of ACB.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A farmer owns a field in the shape of a triangle ABC such that AB 650m, AC= 1005m
and BC = 1225m.
%3D
diagram not to scale
1005
650
1225
B
Find the size of ACB.
Transcribed Image Text:A farmer owns a field in the shape of a triangle ABC such that AB 650m, AC= 1005m and BC = 1225m. %3D diagram not to scale 1005 650 1225 B Find the size of ACB.
The local town is planning to build a highway that will intersect the borders of the field at
points D and E, where DC = 210m and CÊD = 100", as shown in the diagram below.
diagram not to scale
highway
650
210
100
C.
(b)
Find DE.
The town wishes to build a carpark here. They ask the farmer to exchange the part of the
field represented by triangle DCE. In return the farmer will get a triangle of equal area ADF,
where F lies on the same line as D and E, as shown in the diagram above.
(c)
Find the area of triangle LDCE.
(d)
Estimate DF. You may assume the highway has a width of zero.
Transcribed Image Text:The local town is planning to build a highway that will intersect the borders of the field at points D and E, where DC = 210m and CÊD = 100", as shown in the diagram below. diagram not to scale highway 650 210 100 C. (b) Find DE. The town wishes to build a carpark here. They ask the farmer to exchange the part of the field represented by triangle DCE. In return the farmer will get a triangle of equal area ADF, where F lies on the same line as D and E, as shown in the diagram above. (c) Find the area of triangle LDCE. (d) Estimate DF. You may assume the highway has a width of zero.
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