Mariela is standing in a building and looking out of a window at a tree. The tree is 20 feet away from Mariela. Mariela's line of sight to the top of the tree creates a 42° angle of elevation, and her line of sight to the base of the tree creates a 31° angle of depression. What is the height, in feet, of the tree to the nearest foot?

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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42°
20 ft
31°
Mariela is standing in a building and looking out
of a window at a tree. The tree is 20 feet
away
from Mariela. Mariela's line of sight to the top of
the tree creates a 42° angle of elevation, and
her line of sight to the base of the tree creates a
31° angle of depression.
What is the height, in feet, of the tree to the
nearęst foot?
Transcribed Image Text:42° 20 ft 31° Mariela is standing in a building and looking out of a window at a tree. The tree is 20 feet away from Mariela. Mariela's line of sight to the top of the tree creates a 42° angle of elevation, and her line of sight to the base of the tree creates a 31° angle of depression. What is the height, in feet, of the tree to the nearęst foot?
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