Find the equation of the line, if the perpendicular drawn from the origin makes an angle 30° with x-axis and its length is 12.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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100%
2/2
135000
X-2005
10000
10000
-135000)= x-2005
1
(i.e)
-135000)=x- 2005
2000
y- 135000 = 2000 (x- 2005)
y3 2000 (x- 2005) + 135000
At x = 2015, y 2000 (2015 – 2005) + 135000
(i.e)
y= 2000 (10) + 135000 = 20000 + 135000 = 1,55,000
The approximate population in the year 2015 is 1,55,000
E. Find the equation of the line, if the perpendicular drawn from the origin makes an
angle 30° with x-axis and its length is 12.
Sol:
The equation of the line is x cos a +y sin a =p
V3
; sin a = sin 30° = 1/2 ; P = 12.
2
a= 30° , cos a = cos 30° =
!!
V3
line is x
+y-%D
=D12
Transcribed Image Text:2/2 135000 X-2005 10000 10000 -135000)= x-2005 1 (i.e) -135000)=x- 2005 2000 y- 135000 = 2000 (x- 2005) y3 2000 (x- 2005) + 135000 At x = 2015, y 2000 (2015 – 2005) + 135000 (i.e) y= 2000 (10) + 135000 = 20000 + 135000 = 1,55,000 The approximate population in the year 2015 is 1,55,000 E. Find the equation of the line, if the perpendicular drawn from the origin makes an angle 30° with x-axis and its length is 12. Sol: The equation of the line is x cos a +y sin a =p V3 ; sin a = sin 30° = 1/2 ; P = 12. 2 a= 30° , cos a = cos 30° = !! V3 line is x +y-%D =D12
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