Applications: Landscaping Formula A shrub is planted in a 100-ft-wide space between buildings measuring 75 ft and 150 ft tall. The loca- tion of the shrub determines how much sun it receives each day. Show that if 0 is the angle in the figure and x is the distance of the shrub from the taller building, then 75 ft the value of 0 (in radians) is given by 150 ft 75 150 arctan arctan 100 100 ft

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.3: Trigonometric Functions Of Angles
Problem 70E
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Applications:
Landscaping Formula A shrub is planted
in a 100-ft-wide space between buildings
measuring 75 ft and 150 ft tall. The loca-
tion of the shrub determines how much
sun it receives each day. Show that if 0 is
the angle in the figure and x is the distance
of the shrub from the taller building, then 75 ft
the value of 0 (in radians) is given by
150 ft
75
150
arctan
arctan
100
100 ft
Transcribed Image Text:Applications: Landscaping Formula A shrub is planted in a 100-ft-wide space between buildings measuring 75 ft and 150 ft tall. The loca- tion of the shrub determines how much sun it receives each day. Show that if 0 is the angle in the figure and x is the distance of the shrub from the taller building, then 75 ft the value of 0 (in radians) is given by 150 ft 75 150 arctan arctan 100 100 ft
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