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 𝑆41°𝑊. From a tree 90 meters from the gazebo, the bearings to the gazebo and the dock are 𝑆74°𝐸 and 𝑆28°𝐸, respectively.

Find the distance (in 𝑚 ) from the gazebo to the dock. (Round your answer to the nearest whole number.)

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