You are stuck in place P and there is a landmark (L) in your sight that is at an angle of 23◦ to a reference line as in the picture. You know that there is a beacon (B) situated 3.2 miles away from the landmark (along a line parallel to the reference line), which you cannot see, and you can tell from the intensity of its calibrated signal that you are at a distance of d miles from the beacon. You cannot measure any other angle. How far are you from the landmark? 1. Solve the problem for d = 1.0 miles 2. Solve the problem for d = 2.8 miles 3. Solve the problem for d = 3.8 miles 5 An airplane flies over a straight route connecting two radio beams located at 41 miles from each other. Given that the angles of depression (check the definition above) are, respectively, 28◦, and 42◦, find the altitude.

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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You are stuck in place P and there is a landmark (L) in your sight that is at an angle of 23◦ to a reference line as in the picture. You know that there is a beacon (B) situated 3.2 miles away from the landmark (along a line parallel to the reference line), which you cannot see, and you can tell from the intensity of its calibrated signal that you are at a distance of d miles from the beacon. You cannot measure any other angle. How far are you from the landmark? 1. Solve the problem for d = 1.0 miles 2. Solve the problem for d = 2.8 miles 3. Solve the problem for d = 3.8 miles 5 An airplane flies over a straight route connecting two radio beams located at 41 miles from each other. Given that the angles of depression (check the definition above) are, respectively, 28◦, and 42◦, find the altitude.
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