Observation Post A and Observation Post B are 20 miles apart (see diagram). Post A observes an airplane in the distance and determines that the angle of elevation of the plane is 3°. Post A also determines that the angle between the plane and Post B (as measured on the ground) is 70° (i.e. MZBAC = 70°). At the exact same moment, Post B also detects the airplane and observes that the ground angle between the plane and Post A (ZABC) is 100°. C is the point on the ground directly below the plane. You may assume that the ground is flat, and that points A, B, and C are on the ground. At the moment when the plane is detected by both stations... (a) how far away (along the ground) is the plane from Post A ( i.e. what is |AC ) ? (b) how far away (along the ground) is the plane from Post B? (c) what is the height of the plane? (d) what is the angle of elevation of the plane as observed by Post B? C А В

Observation Post A and Observation Post B are 20 miles apart (see diagram). Post A observes an airplane in the distance and determines that the angle of elevation of the plane is 3°. Post A also determines that the angle between the plane and Post B (as measured on the ground) is 70° (i.e. MZBAC = 70°). At the exact same moment, Post B also detects the airplane and observes that the ground angle between the plane and Post A (ZABC) is 100°. C is the point on the ground directly below the plane. You may assume that the ground is flat, and that points A, B, and C are on the ground. At the moment when the plane is detected by both stations... (a) how far away (along the ground) is the plane from Post A ( i.e. what is |AC ) ? (b) how far away (along the ground) is the plane from Post B? (c) what is the height of the plane? (d) what is the angle of elevation of the plane as observed by Post B? C А В

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section: Chapter Questions

Problem 75RE

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