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

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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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

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

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