Use the information and diagram to answer the following question. 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. 42° - 20 ft 31° What is the height, in feet, of the tree?

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section2.4: Applications
Problem 48PS: Albert lives in New Orleans. At noon on a summer day, the angle of elevation of the sun is 84. The...
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Use the information and diagram to answer the following question.
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.
420
- 20 ft
31°
What is the height, in feet, of the tree?
O A. 18 ft
O B. 24 ft
O C. 30 ft
O D. 56 ft
Transcribed Image Text:Use the information and diagram to answer the following question. 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. 420 - 20 ft 31° What is the height, in feet, of the tree? O A. 18 ft O B. 24 ft O C. 30 ft O D. 56 ft
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