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

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 (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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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

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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