An aircraft​ (at Z) is spotted by two observers​ (at X and​ Y) who are L=2000 feet apart. As the airplane passes over the line joining​ them, each observer takes a sighting of the angle of elevation to the​ plane, as indicated in the figure. If A=30°, and B=50°, how high is the​ airplane?

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 aircraft​ (at Z) is spotted by two observers​ (at X and​ Y) who are

L=2000 feet

apart. As the airplane passes over the line joining​ them, each observer takes a sighting of the angle of elevation to the​ plane, as indicated in the figure. If

A=30°,

and

B=50°,

how high is the​ airplane? 

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