An Air Force pilot making a preliminary aerial survey, first observed that when he flew directly over a straight road connecting two coastal towns X and Y, the angles made by these towns with the vertical were 30° and 60°, respectively. When he flew back directly over the same road for the second observation, his altimeter indicted that he was 1100 meters higher and noted that both towns made an angle of 45° with the vertical.   a. What is the distance between the towns, in kilometers. b. How high is the airplane when the first observation was made?

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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An Air Force pilot making a preliminary aerial survey, first observed that when he flew directly over a straight road connecting two coastal towns X and Y, the angles made by these towns with the vertical were 30° and 60°, respectively. When he flew back directly over the same road for the second observation, his altimeter indicted that he was 1100 meters higher and noted that both towns made an angle of 45° with the vertical.

 

a. What is the distance between the towns, in kilometers.
b. How high is the airplane when the first observation was made?
c. 

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