8. Radar stations A and B are on an east-west line, with A west of B, 3.7 kilometers apart.Station A detects a plane at C, on a bearing of 61°. Station B simultaneously detects the sameplane, at an angle 29° west of north. Find the distance from A to C.

Answered: 8. Radar stations A and B are on an…

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter3: Triangles

Section3.5: Inequalities In A Triangle

Problem 23E

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8. Radar stations A and B are on an east-west line, with A west of B, 3.7 kilometers apart.
Station A detects a plane at C, on a bearing of 61°. Station B simultaneously detects the same
plane, at an angle 29° west of north. Find the distance from A to C.

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$S i n c e, R a d a r S t a t i o n s A a n d B a r e o n a n e a s t - w e s t l i n e, w i t h A w e s t o f B, 3.7 k i l o m e t e r s a p a r t . A l s o, i t i s g i v e n t h a t S t a t i o n A d e t e c t s a p l a n e a t C, o n a b e a r i n g o f 61 ° a n d S t a t i o n B d e t e c t s t h e p l a n e a t a n a n g l e 29 ° w e s t o f n o r t h . O u r A i m i s t o f i n d t h e d i s t a n c e f r o m A t o C = ?$

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