1. A BUILDING WAS CONSTRUCTED ON A SLOPE SIDE WHICH MAKES AN ANGLE OF 68 DEGREES WITH THE VERTICAL. 60 METERS FROM THE FOOT OF A BUILDING, IT CREATES AN ANGLE OF ELEVATION OF 35 DEGREES FROM THE ROOF OF THE BUILDING. QUESTION: WHAT IS THE HEIGHT OF THE THE BUILDING?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.2: Angles And Their Relationships
Problem 37E: Draw a triangle with three acute angles. Construct angle bisectors for each of the three angles. On...
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A BUILDING WAS CONSTRUCTED ON A SLOPE SIDE WHICH MAKES AN ANGLE OF 68 DEGREES WITH THE VERTICAL. 60 METERS FROM THE FOOT OF A BUILDING, IT CREATES AN ANGLE OF ELEVATION OF 35 DEGREES FROM THE ROOF OF THE BUILDING. QUESTION: WHAT IS THE HEIGHT OF THE BUILDING?
SINE LAW:
b
d
KU
C
NOTE :
C
COSINE LAW:
$
a
sing sinß
=
으.
c²=a² +6²-2abcos C
6²=a²+ c² - 2accos &
a²=b²tc²-2bccos a
Cangle C
Sin C
WE USE SINE LAW IF THERE ARE
AT LEAST TWO SIDES WITH ONE
INCLUDED ANGLE.
WE USE COSINE LAW IF THERE ARE
TWO KNOWN SIDES WITH ONE UNKNOWN
ANGLE.
Transcribed Image Text:SINE LAW: b d KU C NOTE : C COSINE LAW: $ a sing sinß = 으. c²=a² +6²-2abcos C 6²=a²+ c² - 2accos & a²=b²tc²-2bccos a Cangle C Sin C WE USE SINE LAW IF THERE ARE AT LEAST TWO SIDES WITH ONE INCLUDED ANGLE. WE USE COSINE LAW IF THERE ARE TWO KNOWN SIDES WITH ONE UNKNOWN ANGLE.
A
BUILDING WAS CONSTRUCTED
ON A SLOPE SIDE WHICH MAKES
AN ANGLE OF 68 DEGREES WITH
THE
VERTICAL. 60 METERS FROM
THE FOOT OF A BUILDING, IT CREATES
AN ANGLE OF ELEVATION OF 35
DEGREES FROM THE ROOF OF THE
BUILDING.
QUESTION: WHAT IS THE HEIGHT
OF THE BUILDING?
Transcribed Image Text:A BUILDING WAS CONSTRUCTED ON A SLOPE SIDE WHICH MAKES AN ANGLE OF 68 DEGREES WITH THE VERTICAL. 60 METERS FROM THE FOOT OF A BUILDING, IT CREATES AN ANGLE OF ELEVATION OF 35 DEGREES FROM THE ROOF OF THE BUILDING. QUESTION: WHAT IS THE HEIGHT OF THE BUILDING?
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