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To determine the distance between two aircraft, a tracking station continuously determines the distance to each aircraft and the angle A between them (see figure). Determine the distance a between the planes when A = 44°, b = 33 miles, and c = 19 miles. (Round your answer to one decimal place.)

 Mar 18, 2021
 #1
avatar+121006 
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We  can  use  the Law of Cosines

 

a^2  = b^2  + c^2  - 2 ( b*c)  * cos 44°

 

a^2  = 33^2  + 19^2  - 2 ( 33 * 19) * cos 44°

 

a^2  =  1089  + 361 - 2 ( 627) *cos 44°

 

a^2 = 547.9

 

a = sqrt (547.9)   ≈   23.4   miles

 

 

cool cool cool

 Mar 18, 2021

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