Roberto has plans to build a tree house in a large oak tree in his backyard. He takes measurements from the ground and uses trigonometry to estimate how tall the tree house can be. Twenty feet from the base of the tree, Roberto measures a 26.6° angle of elevation to the proposed bottom of the tree house and a 42° angle of elevation to the proposed top of the tree house. If Roberto is 6 ft tall, will there be enough room for him to stand inside the tree house?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.6: Symmetry And Transformations
Problem 26E: Considering that the consecutive dials on the natural gas meter rotate in opposite directions, what...
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Roberto has plans to build a tree house in a large oak tree in his backyard. He takes measurements from the ground and uses trigonometry to estimate how tall the tree house can be. Twenty feet from the base of the tree, Roberto measures a 26.6° angle of elevation to the proposed bottom of the tree house and a 42° angle of elevation to the proposed top of the tree house. If Roberto is 6 ft tall, will there be enough room for him to stand inside the tree house?

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