2. A surveyor has estimated that a mountain is 2540 ft high. He also measures the angles of depression (from the top of the mountain to two observation stations on the ground) are 40° and 35°, respectively. Assume that the angle between the lines of the top of the mountain to the stations is 84°. Based on the information given above, (a) Sketch a graph, (b) Calculate the distance between the two observation stations.

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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2. A surveyor has estimated that a mountain is 2540 ft high. He also measures
the angles of depression (from the top of the mountain to two observation stations
on the ground) are 40° and 35°, respectively. Assume that the angle between the
lines of the top of the mountain to the stations is 84°. Based on the information
given above,
(a) Sketch a graph,
(b) Calculate the distance between the two observation stations.
Transcribed Image Text:2. A surveyor has estimated that a mountain is 2540 ft high. He also measures the angles of depression (from the top of the mountain to two observation stations on the ground) are 40° and 35°, respectively. Assume that the angle between the lines of the top of the mountain to the stations is 84°. Based on the information given above, (a) Sketch a graph, (b) Calculate the distance between the two observation stations.
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