C 11. Show that if, from the foot of a perpendicular to a plane, a line is drawn normal to any line in the plane, the line connecting this point of intersection with any point in the perpendicular is normal to the line in the plane. Hint. Draw AB perpendicular to plane RS, BC perpendicular to DE in the plane, and PC from C to P, in AB. Take CD = CE; draw PD, PE, BD, BE.

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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PLEASE ANSWER NO. 11 SM11. Show your complete solution.
10. A pole 26 ft. long leans against a wall at a point
10 ft. from the ground. What is the length of the projec-
tion of the pole on the ground?
11. Show that if, from the foot of a perpendicular to
a plane, a line is drawn normal to any line in the plane,
the line connecting this point of intersection with any
point in the perpendicular isnormal to the line in the plane.
Hint. Draw AB perpendicular to plane RS, BC perpendicular to DE in the
plane, and PC from C to P, in AB.
P
Take CD = CE; draw PD, PE, BD, BE.
Transcribed Image Text:10. A pole 26 ft. long leans against a wall at a point 10 ft. from the ground. What is the length of the projec- tion of the pole on the ground? 11. Show that if, from the foot of a perpendicular to a plane, a line is drawn normal to any line in the plane, the line connecting this point of intersection with any point in the perpendicular isnormal to the line in the plane. Hint. Draw AB perpendicular to plane RS, BC perpendicular to DE in the plane, and PC from C to P, in AB. P Take CD = CE; draw PD, PE, BD, BE.
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