8. Three aeroplanes are in communication with each other to determine their locations. They send the following information: Aeroplane A is 15 km away from aeroplane B on a bearing of 035°. Aeroplane C is 26 km away from aeroplane A on a bearing of 125°. 125 N ISkm 26km 0359

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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8. Three aeroplanes are in communication with each other to determine their
locations. They send the following information:
Aeroplane A is 15 km away from aeroplane B on a bearing of 035°.
Aeroplane C is 26 km away from aeroplane A on a bearing of 125°.
125
N 1Skm
26km
035%
B
a) Show that angle BAC is a right angle.
b) Find the distance of aeroplane C from aeroplane B to the nearest km.
c) Find the size of angle ACB to the nearest degree.
Transcribed Image Text:8. Three aeroplanes are in communication with each other to determine their locations. They send the following information: Aeroplane A is 15 km away from aeroplane B on a bearing of 035°. Aeroplane C is 26 km away from aeroplane A on a bearing of 125°. 125 N 1Skm 26km 035% B a) Show that angle BAC is a right angle. b) Find the distance of aeroplane C from aeroplane B to the nearest km. c) Find the size of angle ACB to the nearest degree.
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