The figure below is a diagram that shows how Colleen estimates the height of a tree that is on the other side of a stream. She stands at point A facing the tree and finds the angle of elevation from A to the top of the tree to be 56°. Then she turns 100° and walks 25 feet to point B, where she measures the angle between her path AB and the line BC extending from her to the base of the tree. She finds that angle to be 38°. Use this information to find the height of the tree. (Round your answer to the nearest whole number.) ft A 25 ft

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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The figure below is a diagram that shows how Colleen estimates the height
of a tree that is on the other side of a stream. She stands at point A facing
the tree and finds the angle of elevation from A to the top of the tree to be
56°. Then she turns 100° and walks 25 feet to point B, where she measures
the angle between her path AB and the line BC extending from her to the
base of the tree. She finds that angle to be 38°. Use this information to find
the height of the tree. (Round your answer to the nearest whole number.)
ft
A 25 ft
Transcribed Image Text:The figure below is a diagram that shows how Colleen estimates the height of a tree that is on the other side of a stream. She stands at point A facing the tree and finds the angle of elevation from A to the top of the tree to be 56°. Then she turns 100° and walks 25 feet to point B, where she measures the angle between her path AB and the line BC extending from her to the base of the tree. She finds that angle to be 38°. Use this information to find the height of the tree. (Round your answer to the nearest whole number.) ft A 25 ft
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