A surveyor wants to know the length of a tunnel built through a mountain. According to her equipment, she is located 243 meters from one entrance of the tunnel, at an angle of 47° to the perpendicular. Also according to her equipment, she is 186 meters from the other entrance of the tunnel, at an angle of 27° the perpendicular. Based on these measurements, find the length of the entire tunnel. Do not round any intermediate computations. Round your answer to the nearest tenth. Note that the figure below is not drawn to scale. meters 47° 27° 186 meters 243 meters

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
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A surveyor wants to know the length of a tunnel built through a mountain. According to her equipment, she is located 243 meters from one entrance of the
tunnel, at an angle of 47° to the perpendicular. Also according to her equipment, she is 186 meters from the other entrance of the tunnel, at an angle of 27° to
the perpendicular. Based on these measurements, find the length of the entire tunnel.
Do not round any intermediate computations. Round your answer to the nearest tenth.
Note that the figure below is not drawn to scale.
meters
47°
27°
186 meters
243 meters
Transcribed Image Text:A surveyor wants to know the length of a tunnel built through a mountain. According to her equipment, she is located 243 meters from one entrance of the tunnel, at an angle of 47° to the perpendicular. Also according to her equipment, she is 186 meters from the other entrance of the tunnel, at an angle of 27° to the perpendicular. Based on these measurements, find the length of the entire tunnel. Do not round any intermediate computations. Round your answer to the nearest tenth. Note that the figure below is not drawn to scale. meters 47° 27° 186 meters 243 meters
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