A bridge is built across a small lake from a gazebo to a dock (see figure). The bearing from the gazebo to the dock is S 41° W. From a tree x = 110 meters from the gazebo, the bearings to the gazebo and the dock are S 74° E and S 28° E, respectively. Find the distance from the gazebo to the dock. (Round your answer to the nearest whole number.) m Tree 749 280 Gazebo 41 Dock

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.8: Applications And Models
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A bridge is built across a small lake from a gazebo to a dock (see figure). The bearing from the gazebo to the dock is S 41° W. From a tree x = 110 meters from the gazebo, the bearings to the gazebo
and the dock are S 74° E and S 28° E, respectively. Find the distance from the gazebo to the dock. (Round your answer to the nearest whole number.)
m
Tree
749
280
Gazebo
41
Dock
Transcribed Image Text:A bridge is built across a small lake from a gazebo to a dock (see figure). The bearing from the gazebo to the dock is S 41° W. From a tree x = 110 meters from the gazebo, the bearings to the gazebo and the dock are S 74° E and S 28° E, respectively. Find the distance from the gazebo to the dock. (Round your answer to the nearest whole number.) m Tree 749 280 Gazebo 41 Dock
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