4. A house that is 50 ft long and 40 ft wide has a pyramidal roof whose height is 15 ft. Find the length of the rafter PQ that extends from a corner of the building to the vertex of the roof. 15' P 50' - Q 40' TOP VIEW 50' 40′

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
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4. A house that is 50 ft long and 40 ft wide has a pyramidal roof whose height is
15 ft. Find the length of the rafter PQ that extends from a corner of the building
to the vertex of the roof.
15'
50'
40'
Alt
(a) AP = BP
(b) 2 APO = L BPO.
Support your reasoning.
In the figure, AP and BP are the tangent lines to
the circle with center O at the points A and B.
Show that:
6. Given the unit square ABCD, let E be the
midpoint of side AB and let F be the
midpoint of side BC.
TOP VIEW
Unt DEG is a right triangle.
DEC
P
5. A tangent line to a circle is a line that intersects the circle at only one point.
Euclid demonstrated that a tangent line is always perpendicular to the
radius at its point of contact.
D
50'
B
Q
40'
N
Transcribed Image Text:4. A house that is 50 ft long and 40 ft wide has a pyramidal roof whose height is 15 ft. Find the length of the rafter PQ that extends from a corner of the building to the vertex of the roof. 15' 50' 40' Alt (a) AP = BP (b) 2 APO = L BPO. Support your reasoning. In the figure, AP and BP are the tangent lines to the circle with center O at the points A and B. Show that: 6. Given the unit square ABCD, let E be the midpoint of side AB and let F be the midpoint of side BC. TOP VIEW Unt DEG is a right triangle. DEC P 5. A tangent line to a circle is a line that intersects the circle at only one point. Euclid demonstrated that a tangent line is always perpendicular to the radius at its point of contact. D 50' B Q 40' N
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